What is 3 to the 8th power times 3 to the 2nd power simplified and what law did you use?

Answers

Answer 1

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

[tex]3^{8}*3^{2}=3^{8+2}=3^{10}[/tex]

Using the multiplication/product law of exponents, you can add the exponents up.

Answer 2

Answer:

3^10 and the law used would be the Product Rule for exponents.

Step-by-step explanation:

turning this question into an equation you would get:

3^8 * 3^2 = ?

The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:

A^x * A^y = A^(x+y)

Applying it to this question, you get

3^8 * 3^2 = 3^(8+2)

3^(8+2) is 3^10.

Therefore the simplified expression is 3^10.


Related Questions

Help me find the slope please

Answers

Answer to finding the slope is -1/4

What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2

Answers

Answer:

132°

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°

smbdy plssss I'll give 35 points
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)​

Answers

Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]

18x + 3y = -21 slope intercept form​

Answers

Answer: y=-6x-7

Step-by-step explanation:

Slope-intercept form is y=mx+b. This means, we want to isolate y.

18x+3y=-21                   [subtract both sides by 18x]

3y=-18x-21                    [divide both sides by 3]

y=-6x-7

Now, our equation is in slope-intercept form.

find the area of a shape​

Answers

Add a picture with your question
Which shape then we can help

Give examples of two substances that look similar, but have different properties.

Answers

Answer:

Water and alcohol

Step-by-step explanation:

They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.

their smelltheir PHtheir density

plzzzz Help!!!!!!


A plumber charges $55 for a service call plus $40 for each hour he works. If the total bill for a job costs $215, write an equation to represent the situation. 40 + 55 = x + 215 215 = x + 40 + 55 215 = 40 + 55x 215 = 40x + 55​

Answers

Answer:

The answer is 215=55x+40 or 215=40+55x

Step-by-step explanation:

The reason it is that is because the plumber charges $55 for a service and he adds 40 for each hour he works so that is why this is the answer Remember the total bill cost 215 so that comes as the equation is equal to.

Hope that helps

Is 225 a perfect square and a perfect cube?

Answers

Answer:

Yes, it is!

Step-by-step explanation:

yes that’s actually a really perfect square

A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.

Answers

Answer:

3(75) + 50C

Step-by-step explanation:

Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :

3(75) ----- Let that be  equation (1)

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C  --- Let that be equation (2)

here, C represents the total amount of colors in the number of T-shirts

Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:

=  3(75) + 50C

help me with this, please

Answers

Answer:

Correct Answer: Option A

Step-by-step explanation:

cos(x + 25o) = sin 45o

using cos θ = sin(90 - θ)

cos(x + 25o) = cos(90 - 45)

cos(x + 25o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20o

 

Hope it helps ♡^▽^♡

The answer is A because I had same problem and got a 100% on my test. Have a nice day!

Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
A. [-7,4]
B. 8.06
C. 8.56
D. 11

Answers

D 11 I think I'm not sure, good luck

Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.

Answers

5+3x=4x
only when
x=5
The two expression are only equal at x=5

PLEASE SHOW WORK!!

I WILL MARK YOU BRAINLIEST!! **ESPECIALLY IF YOU CAN EXPLAIN IT!

Answers

Step-by-step explanation:

x^2=9/49

√x^2=√9/49

x=+or-3/7

8x + 4 = 3 (x-1) + 7'

Answers

it it is 30 little one

Select all the scalars


A. Distance

b.displacement

C.speed

D.velocity







Please help ASAP please answer please !!⬆️

Answers

Answer:

A, B, C

Step-by-step explanation:

Velocity is the only option that has both distanace and direction.

Please help 30 points!!!!!!! Convert 45.25 mL into ft3.

Answers

This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft<sup>3</sup> , cu ft?

hope this helps!


Which quadrilateral is the result of rotating quadrilateral ABCD 270° clockwise about the origin

Answers

Answer:

2

Step-by-step explanation:

Answer:

your awnser would be C

Step-by-step explanation:

Can someone plss help mee ??

Answers

first - 8
second - 4
third - 12
fourth - 9

Someone please help me with this geometry proof question ASAP!

Answers

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

I need help fast pls help

Answers

the answer is C fr fr fr

Answer:

third option

Step-by-step explanation:

Using the rule of radicals

[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\frac{\sqrt{-12} }{\sqrt{6} }[/tex] = [tex]\sqrt{\frac{-12}{6} }[/tex] = [tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex] = i[tex]\sqrt{2}[/tex]

What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?

Answers

Answer:

x = 3/2

Step-by-step explanation:

x = 3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

Solve
x/4 = 8

please help me find what x is ​

Answers

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

Multiply by 4 on both sides to get x=32.

the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane​

Answers

Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

Convert the repeating decimal below into a fraction. - 0.6

Answers

Answer:

2/3

Step-by-step explanation

(6 times 10)-0

___________

          9

6/9= 2/3

Norah's hours worked and corresponding total earnings are shown in the
graph. What would Norah's total earnings be if she worked 11 hours? Hint:
What is her hourly rate?
Total earnings
40
30
20
10
4
0
3
Hours worked
A. $440
B. $110
Ο Ο Ο Ο
C. $220
D. $330

Answers

Answer:

B

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

APEX

Jacinta is very fast and ran 300 metres in 30 seconds. What is her speed in km/h?

Answers

Answer:

36km/h

hope this helps!

Joe wants to buy a toaster that costs $15 dollars. The sales tax on the toaster is 5%. What is the total cost Joe will pay for the toaster? (Please explain how you solved the problem)

Answers

Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

7. The island is rich with hot chili peppers. You can collect 1.6 pecks a day. How many liters could you collect in 1 week?​

Answers

I think this is the answer:)

The required liters of hot chili papers collected in a week is 98.56 liters.

What is a unit of measurement?

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.


1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters

So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters

Thus, the required liters of hot chili papers collected in a week is 98.56 liters.

Learn more about measurement here:

brainly.com/question/12629581

#SPJ2

Ashley rolls a die, flips a corner, and then roll the die again. What is the probability that he will roll to our numbers And that the coin will land on heads?

Answers

Answer:

1/72

Step-by-step explanation:

Given that Ashley rolls a die, flips a corner, and then roll the die again.

Since he rolls a die two times, the number of total possible outcomes for each roll will be equal to 6

Also, the number of possible outcomes for a coin will be equal to 2

What is the probability that he will roll to our numbers And that the coin will land on heads

The probability will be

1/6 ×1/6 × 1/2 = 1/72

HELP I DONT KNOW WHICH CHOICE TO PICK

Answers

Answer:

second option

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle

Given

hypotenuse = x[tex]\sqrt{2}[/tex] and

the combined length of the legs = 2x , then

perimeter = x[tex]\sqrt{2}[/tex] + 2x

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