how do you write 10^3 / 10^7 in standard form for properties of exponents

Answers

Answer 1

Answer:

1 / 10000

Step-by-step explanation:

10^3 / 10^7

apply exponent rule: x^a / x^b = x^(a-b)

10^3 / 10^7 where a = 3 and b = 7

10^(3 - 7) = 10^(-4)

apply exponent rule: a^-b = 1 / a^b

1 / 10^(4)

10^4 = 10000

1 / 10000

Let me know if you have any questions !

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Answer 2

Answer:

10^-4

Step-by-step explanation:

In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4


Related Questions

"I was told I would receive a 15% credit on the fee to activate my service but I was still charged $50.00."

Answers

Answer:

Based on the given conditions;

50÷(1-15℅)

=50/1-0.15

=50/0.85

=1000/17

b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment. Monthly Payment: Total Amount Paid:

Answers

Answer:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Step-by-step explanation:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?

Answers

The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Dots sells T-shirts ($5) and shorts ($9).

In April, total sales were $570. People bought 2 times as many T-shirts as shorts.

Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,

[tex]5x+9y=570[/tex]

Solve it further,

[tex]5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}[/tex]                  ....1

People bought 2 times as many T-shirts as shorts. Thus,

[tex]x=2y[/tex]                          ....1

Put the value of y form equation in this equation as,

[tex]x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60[/tex]

Put this value of x in equation 2 as,

[tex]x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30[/tex]

Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

Learn more about the system of equations here;

https://brainly.com/question/13729904

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Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043

Answers

Answer:

y=2

Step-by-step explanation:

due to diagram have done the steps in the image

Find the value of x in this figure

Answers

Answer: 47
Step by step equation: hope this helps!

Factor completely.
128-32x + 2x² =

Answers

Answer:

[tex]\mathrm {(x - 8)(x + 8)}[/tex]

had to be corrected. sorry for the inconvenience.

Answer:

(x - 8)(x + 8) will be your answer.

Step-by-step explanation:

Lets do this step by step.

1) Find the GCF of the expression.

2x^2 - 32x - 128 --> 2(x^2 - 16x - 64)

2) Use the X-method to factor.

It gives us the expression 2(x^2 - 8x)(-8x -64).

3) Factor for x.

(x^2 - 8x) --> x(x - 8)

(-8x - 64) --> -8(x + 8)

Our answer is (x - 8)(x + 8)

Which expression shows 35+ 15 written as a product of two factors?
7(5+2)
5(6 + 3)
5(7 + 3)
7(5+3)?

Answers

Answer:

5(7+3)

Step-by-step explanation:

Because 7+3=10 and 10x5=50. And also 35+15=50 so 50 and 50

Hey there!

35 + 15

= 50


Option A.

7(5 + 2)

= 7(5) + 7(2)

= 35 + 14

= 49

49 ≠ 50


Option B.
5(6 + 3)

= 5(6) + 5(3)

= 30 + 15

= 45

45 ≠ 50


Option C.

5(7 + 3)

= 5(7) + 5(3)

= 35 + 15

= 50

50 = 50


Option D.
7(5 + 3)

= 7(5) + 7(3)

= 35 + 21

= 56

56 ≠ 50


Therefore, the answer should be:

Option C. 5(7 + 3)

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

WILL GIVE BRAINLIEST, STARS, POINTS, AND THANK YOU FOR THE RIGHT ANSWER!!!

PLEASE. PLEASE HELP MEEE.

Computing Residuals


1/3


The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 11 different months.


The equation of the line of best fit is y= -1.1x + 91.30



Use the equation of the line of best fit to fill in the blanks below.


Give exact answers, not rounded approximations.

Answers

Answer:

1st blank: $51.00.    3rd blank: 1.1   5th blank: 24.2

2nd blank: $67.00.  4th blank: 91.30.  6th blank: -57.4

Step-by-step explanation:

Directions: Write your answers on your paper.Show your solutions with checking.

#1. Convert the decimal number 10 to a binary digit.

#2.Give the types of Mult-meter (VOM) and differential each function.

Nonsense = Reported!!​

Answers

Answer:

1010See below ~

Step-by-step explanation:

Q1

Decimal number 10 written in binary terms is 1010

Q2

There are different types of multimeters like Analog, Digital, and Fluke multimetersFunctions :Resistance in OhmsCapacity in FaradsThe temperature in Fahrenheit/ CelsiusAC Voltage & AmperageInductance HenrysDC Voltage & AmperageFrequency in HzConductance in SiemensDecibelsDuty Cycle

hope it helps you

# 1

Conversion of decimal number 10 into binary is:

10 / 2 = 5 with remainder 0

5 / 2 = 2 with remainder 1

2 / 2 = 1 with remainder 0

1 / 2 = 0 with remainder 1

Therefore, the 10 in decimal is equal to 1010 in binary.

# 2

Analog multimeters are multifunction electrical measuring instruments with indicationby means of an arrow (analog) scale.

Modern analog multimeter

Advantages of analog multimeters:

Possibility to carry out measurements at low temperatures down to -30 ° С.Fast operation with a large amount of measurements, when high precision is not required.Do not require power consumption from the built-in power supply in the mode of voltage and current measurement.Instant display of the dynamics of the signal change.

Disadvantages and features:

Non-linear scale and setting zero before starting measurements.Absence of automatic detection of voltage polarity.A small set of functions: most models can measure only DC and AC voltage, DC current and resistance.Low input resistance and, consequently, a high error in low-voltage measurements.Sensitivity to mechanical damage, vibration.

Digital multimeters are modern, reliable measuring devices characterized by high measurement accuracy and various functional capabilities. Digital devices have replaced analogue in connection with the possibility of wide application of semiconductor technologies. Today most of the produced multimeters are digital. Specialists working with electrical equipment, if necessary, can choose among the digital multimeters a model focused on a specific task.

Advantages of digital multimeters:

Maximum possible measurement accuracy.Automatic polarity detection: If the probes are connected incorrectly, the correct values with a minus sign appear on the screen.Possibility of automatic and manual selection of measuring ranges.Multifunctionality.Does not require mandatory zero adjustment.The accuracy of the meter reading does not depend on the battery charge.Resistance to mechanical damage.The ability to record measurement results in memory and synchronize with a PC.

What is 69.1% as a decimal?​

Answers

Answer:

0.691

Step-by-step explanation:

Since a percentage means out of 100, divide the percentage by 100

69.1÷100= 0.691

0.691

100% = 1.00 helps me remember where the decimal goes.

Bob's living room floor is a rectangle that measures 9 feet by 12 feet. What is the diagonal distance, in feet, across the floor? A. 13 B. 15 C. 16 D. 21​

Answers

Answer:

B

Step-by-step explanation:

here, we can use the pythagorean theorem. more info here: https://en.wikipedia.org/wiki/Pythagorean_theorem

formula: a^2+b^2=c^2

so we can apply the formula by doing this:

9^2+12^2=c^2

81+144=c^2

81+144=225

c=√225

c=15

solved

Write a part -to part ratio that compares the girls to boy . Write this in 3 different forms

Answers

The ratio of girls to boys is 4:5.

For every four girls that are in the camp, there are five boys.

The ratio of girls to boys is 4/5.

The ratio of boys to girls is 5:4.

The ratio of boys to girls is 5/4.

The ratio of boys to girls is 1 1/4.

What are the ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.

To learn more about ratios, please check: https://brainly.com/question/25927869

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PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH!!

Answers

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Find the surface area

Answers

Answer:

the surface area is 648

Solution:

A=2(wl+hl+hw)=2·(9·9+13.5·9+13.5·9)=648

I need help figuring it out

Answers

Answer:

a pendulum consists of a mass hanging at the end of a string which is 18 cm long. find the vertical height through which the mass rises and falls as the pendulum swings through 30°on each side of the vertical.

Answer:

1. P = IRT

T = P/IR

2. A = 2(L + W)

L + W = A/2

W = A/2 - L

3. y = 5x - 6

x = (y +6)/5

4. 2x - 3y = 8

y = (2x - 8)/3

5. (x+y)/3 = 5

x = 5×3 - y

x = 15 - y

6. y = mx + b

b = y - mx

7. ax + by = c

by = c - ax

y = (c - ax)/b

Hope it helps!

5b) Find the surface area of the triangular prism. Round your answer to two decimal places.​

Answers

Answer:

693.19 m^2.

Step-by-step explanation:

This consists of 2 triangles and 3 rectangles,

Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31

=  27 + 279 + 93 + 294.19

= 693.19 m^2

How do you put x=y-1
into word form

Answers

Answer:

x equals y minus one

Step-by-step explanation:

= means equals

- is minus

x and y cannot be put into any other (word) form

hope this helps:)

30x–100y=3,000 find where the x and y intercept

Answers

Answer:

Slope = -0.020/2.000 = -0.010

 x-intercept = 3000/1 = 3000.00000

 y-intercept = 3000/100 = 30

Step-by-step explanation:

I think

Heyi please help :)

Solve for W: WXY=Z

Answers

Answer:

W = ZXY

Step-by-step explanation:

3 questions, worth a lot of points

Answers

Why were the Jews victims of genocide during World War II?

Bankers for the previous corrupt German government had been mostly from Jewish families.

Many Germans believed that Jews had masterminded the Russian communist revolution.

Many believed that the Jews were planning to take control of the German parliament.d masterminded the Russian communist revolution.

The German government was determined to eliminate all non-Christians from German soil.

A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A. 2/5
B. 4/9
C. 1/2
D. 5/9

Answers

Answer:

4/9

Step-by-step explanation:

4/9 is the answer.  In the bag there are 10 marbles in total.  If I draw a pink marble, there are now 9 marbles and 4 of them are pink, so the answer is 4/9, or B.

Answer:

4/9

Step-by-step explanation:

It's correct!

a lion gamer spent a total of 400$. the circle graph shows what percent was spent on each item. find the amount spent on a.costume b.chairs c. whips

Answers

B chairs, i’m so sorry

B. chair no costume also whips

anyone understands this?

Answers

Answer:

[tex]144^{90}[/tex]

Step-by-step explanation:

sqrt (144^180)   =    (144^180 )^1/2  = 144^90

) Which expression is equivalent to 5(x + 7)?

Answers

Answer:

= 5x +35

Step-by-step explanation:

Steps

5(x+7)

Apply the distributive law: ab+c) = ab + ac

5(x+7) =5x + 5: 7

=5X+5: 7

Multiply the numbers: 5 7= 35

= 5x +35

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X=3), n=8, p=0.2

Answers

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]

               [tex]=0.14680064[/tex]

What is the measure of n?
m
n
8
4
ከ =
4V[?]
Give your answer in simplest form.
Enter

Answers

The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We can use the altitude rule:

8/n = n/4

n² = 32

n = √32

Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

Learn more about the right angle triangle here:

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HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00
What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >​

Answers

HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00

What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >

Mrs. bell has a 256 ounce bag of potting soil what is the greatest number of 6 ounce pots she can completely fill with soil

Answers

The answer is.. 42 Pots

256 divided by 6 = 42

Hope this helps!!

3ª = 69


Help pleaseeee it’s solving exponential equations with logarithms worksheet

Answers

Answer:

a = 3.8540

Step-by-step explanation:

3ª = 69

ln 3ª = ln69

a * 1n3/1n3 = ln69/ln3

a = 3.8540

please mark brainliest if i got it correct. if i didn't sorry :(

The answer is 3.8540

4. Find the length of a diagonal of a rectangle ABCD with vertices A (-3, 1), B (-1, 3), C (3, -1),
and D (1,-3).

Answers

Answer:

Step-by-step explanation:

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