Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4

Answers

Answer 1

Answer:

Choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.

Step-by-step explanation:

Given expression is,

[tex](4^5)(4^3)[/tex]

By applying law of exponents in the given expression,

[tex](4^5)(4^3)=4^{5+3}[/tex]

            [tex]=4^8[/tex]

[tex](4^5)(4^3)=(2^2)^5(2^2)^3[/tex]

            [tex]=(2^{2\times 5})(2^{2\times 3})[/tex]

            [tex]=2^{10}\times 2^6[/tex]  

            [tex]=2^{16}[/tex]

            [tex]=(2^4)^4[/tex]

            [tex]=(16)^4[/tex]

Therefore, choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.


Related Questions

Will give brainiest & other. Help please!


Write an equation of the line in
slope-intercept form.

Answers

Answer:

y= 1x

Step-by-step explanation:

the diameter of a circle is 6 kilometers.what is the circumference? use 3.14 As approximation for pi

Answers

Answer:

[tex]circumference = 2\pi \: d \\ = 2 \times 3.14 \times 6 \\ = 37.68 \: km[/tex]

compare the numbers with
>, <, =
- 3.5 ____ 2.8
7.4 ____ - 9

Answers

Answer:

-3.5   <   2.8

7.4   >   -9

Step-by-step explanation:

If you have a negative number and a positive number the positive number is always greater.

When you have a negative number and another negative, the smallest number is greater.

For example: -2.5       -3.7

-2.5 is greater than -3.7 because it is less negative.

-2.5   >   -3.7

When you have a positive number and a positive number, the biggest number is greater.

For example: 8.3       4.2

8.3 is greater than 4.2 because it is a bigger number.

8.3   >   4.2

A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
Skittles. If one skittle is drawn at random, what is the P( purple | red).

Answers

Answer:

7/37 bc you add all of them up and it's 37 so

Steve made $50 raking leaves and $75 mowing lawns he gave 60% of his earnings to his mother how much did Steve give to his mother

Answers

Answer:

Steve gave his mother $75.

Step-by-step explanation:

Steve earned a total of $125.  Sixty percent of that went to his mother.  Convert 60% into the equivalent decimal fraction and multiply as indicated:

0.60($125) = $75

Steve gave his mother $75.

Answer:

Steve gave $75 to his mother.

Step-by-step explanation:

Steve earned a total of $125. Sixty percent of that went to his mother.  Convert 60% into a decimal and multiply:

0.60($125) = $75

A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Total
0.4
Dessert
No dessert
Total
Appetizer
0.1
0.2
0.3
No appetizer
0.3
0.4
0.7
0.6
1.0
What does the 0.2 in the highlighted cell mean?
A. 20% of the customers who ordered an appetizer did not order
dessert.
B. 20% of her customers did not order dessert.
C. 20% of her customers ordered an appetizer but no dessert.
D. 20% of her customers ordered an appetizer.
SUBMIT
PREVIOUS

Answers

In the table given in the question 0.2 means that 20% of her customers ordered an appetizer but not a dessert.

What is two way table?

Two way table is a table which shows the frequencies or relative frequencies of some values in the data.

How to find frequency?

From the table it is given that:

0.1=10% of the customers ordered both an appetizer and a dessert.0.3=30% of the customers ordered a dessert but not an appetizer.0.4=40% of the customers ordered a dessert.0.2=20% of the customers ordered an appetizer but not a dessert.0.4=40% of the customers neither ordered appetizer nor dessert.0.3=30% of the customers ordered an appetizer.0.7=70% of the customers did not order an appetizer.

The total is of 100%.

Hence the highlighted cell mean contains 0.2 shows that 20% customers ordered an appetizer but not a dessert.

Learn more about two way table at https://brainly.com/question/16148316

#SPJ2

8100x3^-4 write in steps

Answers

Answer:

100

Step-by-step explanation:

Give me Brainllest

find two numbers that multiply to -72 and add up to -1​

Answers

Answer:

-8 and 9

Step-by-step explanation:

-8 x 9  = -72

and  -8 + 9 = 1

Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96

Answers

664.80
- 200
= 444.80

444.80/5 months = A) 88.96

PLZZ HELPP ILL GIVE BRAINLIST

Answers

Answer:

C- 8.33 cars/h

Step-by-step explanation:

We know she washed 50 cars during 6 hours. To know how many she did per 1 hour, we must do the following:

50cars/6h = x/1h

x represents the number of cars she washed per hour.

Now, solve it with Cross-multiplication.

50×1 = 6x50/6 = 6x/68.33 = x

Hope this helps!!





Pranav bought lunch at 5 Guys for $14.20. How much

tax will he pay with a sales tax rate of 6.5%?

Answers

Answer:

92 cents

Step-by-step explanation:

14.20×6.5%=0.923

hola me ayudan
???????????

Answers

Answer:

AAAAAA

Step-by-step explanation:

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

How many passwords can you have if there are 2 numbers and 3​ letters? (letters and numbers can​ repeat)
A.
​6,760
B.
​1,757,600
C.
​676,000
D.
​2,600

Answers

Answer:

D) 2,600.............

Answer:

d

Step-by-step explanation:

Find the surface area of the figure below. Leave answer in terms of TT. Round to the nearest hundredth if necessary,
18 km
3247 km2
Ob
4227 km2
Ос
3447 km
Od
12967 km2

Answers

Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

please help me
please help with just one question at least

Answers

Answer:

1.A

2.C

3.D

4.C

Step-by-step explanation:

HOPE IT HELP

BRAINLIEST PLEASE

Find the area of the trapezoid

A. 44 Square units
B. 72 Square units
C. 88 Square units
D. 144 Square units

Answers

Answer:

Area = 13+9=22

22/2 = 11

11x 4 = 44 square units

find the volume of the composite figure​

Answers

Answer:

8064

Step-by-step explanation:

Multiply all the sides

6x4x12x2x14

Answer:

384 cu. cm

Step-by-step explanation:

The figure is comprised of two rectangular prisms.  One prism has dimensions of 6, 4 and 2 and the other prism has dimensions of 14, 12 and 2

Vol of a rectangular prism = lwh

Total volume = 6(4)(2) + 14(12)(2)

                      = 48 + 336

                      = 384 cu. cm

Naina went on a trip. She covered a distance of 34 Kilometre 46 metre by car, 143 kilometre 92 metre by train, 5 kilometre 92 metre by bus, 2 kilometre 60 metre on bullocks and 1.3 kilometre on foot. How much distance did she cover.

Answers

Answer:

185590 m

or 185 km 590 meters

Step-by-step explanation:

to calculate total distance covered, convert km to meter and adding the numbers together

1km = 1000m

34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m

143 kilometre 92 metre = ( 143 x 1000) + 92 =  143,092m

5 kilometre 92 metre = (5 x 1000) + 92 = 5092

2 kilometre 60 metre = (2 x 1000) + 60 = 2060

1.3 km = 1.3 x 1000 = 1300

A rectangular pyramid has a base that is 10 millimeters long and 10 millimeters wide. The pyramid's slant height is 11 millimeters. What is its surface area?

Answers

I believe it is 215 millimeters

Can someone plz help me with this one problem plzzzzz!!! Explain

Answers

Answer: 7 yards

Step-by-step explanation:


3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.

A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet

Answers

Answer:

The surface area is 22 square feet

Step-by-step explanation:

For a right rectangular prism, we have the formula for the area as;

A = 2(lb + lh + bh)

Accordingly, we have l as the length, b as the breadth and h as the height

Using the given dimensions, we have

A = 2(3(1) + 3(2) + 1(2))

A = 2(3 + 6 + 2)

A = 2(11) = 22 square feet

Math Minute 92b
can you guys help?

Answers

Answer:

n = 81

Step-by-step explanation:

sqrt(n) = 9

(sqrt(n))² = 9²

n = 81

Фhelp me out please im so confused!
pleaSE?

Answers

Answer:

Step-by-step explanation:

I can't really tell from the image but it looks like the lines are parallel to each other

Which set of ordered pairs does not represent a function?
{(5, -9), (6, -6),(-3, 8), (9,-6)}
{(-6, -4), (4, -8),(-6,9), (1, -3)}
{(1, -1), (-5,7), (4,-9), (-9,7)}
{(8,-9), (-3, -6), (-4, 4), (1, -5)}

Answers

Answer:

2

Step-by-step explanation:

{(-6, -4), (4, -8),(-6,9), (1, -3)}

These ordered pairs are not a function.

-6 has 2 outputs.

Ty and his 3 brothers share a pizza equally.Which of these shows how much of the pizza did tys brothers have

Answers

3 fourths - No matter how many pizzas there are, if we divide each pizza to 4 slices, each one gets one slice from each pizza, that is 1/4 of a pizza for each brother. Since there are 3 pizzas, simply multiply 3 x 1/4 = 3/4

Answer:3/4

Step-by-step explanation:

Have a good day!

What happens to the area of a circle if the circumference is doubled?
A. The area is 1/2 of the original circle
B. The area is the same as the original circle
C. The area is 2 times the original circle
D. The area is 4 times the original circle
E. The area is 8 times the original circle

Answers

Answer:

D. The area is 4 times the original circle

Step-by-step explanation:

The circumference:

C = 2πr

If the circumference is doubled, it means the radius is doubled.

The area:

A = πr²

And the new area:

A1 = π(2r)² = 4πr² = 4A

Correct choice is D

Answer:

Solution given:

area of a circle[A]=πr²

circumference of circle [C]=2πr

when circumference of circle is doubled

it becomes :4πr

Step-by-step explanation:

area directly proportional to circumference

πr²=2πr

when circumference is doubled

πr²=2(2πr)

so area

C. The area is 2 times the original circle

PLEASE HELP!
Use the bar graph to find the relative frequency of the event.
The relative frequency of spinning a 6 is ___

Answers

i think its 7

Hope this helps

-scav

Answer: 14%

Step-by-step explanation:

ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?

Answers

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Part A: The trigonometry identities

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

Part B: The trigonometric proof

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

The diagram shows the dimensions of Mr. Green's garden. A bag of fertilizer costs $3 and covers an area of about 50 square feet. What will be the cost for Mr. Green to fertilize his garden?​

Answers

Answer:

just multiply the numbers

Answer:

The area of his garden is  

✔ 84  ft

2.  Mr. Green will need  

✔ 2  bags of fertilizer.

The cost will be $

✔ 6

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