15-18, use the properties of the exponents to write an equivalent expression for each given expression.


15. (4⁴)³



16. 3¹²




17. 4⁵ • 4²



18. 6⁴ • 2⁴











please help!

Answers

Answer 1

15.

[tex]( {4}^{4} ) {}^{3} [/tex]

[tex] = {4}^{4 \times 3} [/tex]

[tex] = {4}^{12} [/tex]

[tex] = 16777216[/tex]

___________________________________________

16.

[tex] \frac{ {3}^{12} }{ {3}^{3} } [/tex]

[tex] = {3}^{12 - 3} [/tex]

[tex] = {3}^{9} [/tex]

[tex] = 19683[/tex]

___________________________________________

17.

[tex] {4}^{5} \times {4}^{2} [/tex]

[tex] = {4}^{(5 + 2)} [/tex]

[tex] = {4}^{7} [/tex]

[tex] = 16384[/tex]

___________________________________________

18.

[tex] {6}^{4} \times {2}^{4} [/tex]

[tex] = ({6 \times 2})^{4} [/tex]

[tex] = {12}^{4} [/tex]

[tex] = 20736[/tex]


Related Questions

May someone help me out on this question?

Answers

Answer:

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Step-by-step explanation:

From the graph attached,

Equation of line (1),

y = 2

Where x < 0

Let the equation of line (2) is,

y = mx + b

y-intercept 'b' = 0 [line (2) passes through origin]

Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                 = [tex]\frac{3}{3}[/tex]

                                 = 1

Therefore, equation of line (2) will be,

y = x

where 0 ≤ x < 3

Equation of line (3) will be,

y = 3

Where x ≥ 3

Therefore, piecewise linear function will be,

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

P= 2.50n - 300

How many candy bars must be sold to make a profit of $500?

Answers

5dgcfffvfccffffff did never nene even jelly meme me

Answer:

I need the answer

I dont know!!

Step-by-step explanation:

which is an equation for the line passing through the points (-3,3) and (6,9)​

Answers

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]


Which of the following sets of numbers could represent the three sides of a right
triangle?

Answers

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

Can someone tell me the answer to this 20 points

Answers

here hope this helps

Answer:

B

Step-by-step explanation:

HELP ME PLZ BRAINLIST 4 U

Answers

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

Is the equation proportional?
y = 2x + 6

Answers

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats. If the number of boxes needed for packing is proportional to the number of bats produced, how many boxes would be needed on a day when 36,000 bats are produced?

Answers

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

Barts per box= 480

Now, the number of boxes for 36,000 bats:

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

Answer:75

Step-by-step explanation:

Bats 24000/50

Box 480

Simplify.
9/3x + 4+ 2x

Answers

Answer:

5x+4

Step-by-step explanation:

r = 4 in., θ = 11 rad; find s

Answers

Answer:

The arc length s = 44 inches

Step-by-step explanation:

We are given:

r = 4 in

Ф = 11 radians

We need to find s

The formula used is: [tex]s=r\theta[/tex]

where s represents arc length, r is radius and Ф is angle in radians

Putting values and finding s

[tex]s=r\theta[/tex]

Put r = 4 and Ф = 11

[tex]s=4\times 11\\s=44[/tex]

So, the arc length s = 44 inches

which is the graph of x-y=1

Answers

it should be the first one

Determine the answer to (−5) + 4 and explain the steps using a number line.pls help i will give 62 pints

Answers

the answer is -1 because if you start with -5 on a number line & move 4 numbers to the right (since it’s positive), you’ll land on -1

Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each.

1. describe the domain of the function both in words and numbers?
2. what is the range?

Answers

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Question 3
True or false. A discount will add to the total cost you
will pay for an item.

Answers

Answer:

False

Step-by-step explanation:

Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *

Answers

Answer:

if it's wednesday

Step-by-step explanation:

Rita runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?

Answers

Answer:

2.4

Step-by-step explanation:

v=3/25

d=3/25 * 20=12/5=2.4

hope this help

Simplify the complex fraction shown below: 1/4 over 10/9

Answers

Answer:

9/40 or 0.225

Step-by-step explanation:

WILL GIVE A BRAINLIEST
1 fourth as a decimal?
1 fourth as a fraction?
1 fourth as a percent?
3 fourths as a decimal?
3 fourths as a fraction?
3 fourths as a percent?

Answers

Answer:

1/4=0.25

1/4

1/4=25℅

3/4=0.75

3/4

3/4=75℅

Any help here please I don’t understand these math problems.

Answers

1. b= 1
m= 5/1
3. b= 2
m= 2/3
4. B= 5
m= -3/1
sooooo always remember Y=Mx + B and mx is slope x, and b is y-intercept.
for the second one you can make the -5 a +-5

Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.

What is the amount of interest Mr. Gonzalez will earn at the end of one year?

Answers

Answer:

4326

Step-by-step explanation:

4200/100x3=126

4200 + 126=4326

Answer:

b

Step-by-step explanation:

4326

The table shows the amount of flour
used to make waffles. What is the unit
rate for the amount of flour per waffle?

Answers

Answer:

⅛ cups per waffle

Step-by-step explanation:


Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down

Answers

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

Find out more at: https://brainly.com/question/11707700

what answer this is ?

Answers

Answer:

A and C

Step-by-step explanation:

If the fraction is negative either the numerator or the denominator can be marked negative and it stays the same

If a = 3 sqrt(3) in the right triangle shown, what is the value of b?

Answers

Note: Consider the below figure attached with this question.

Given:

[tex]a=3\sqrt{3}[/tex]

To find:

The value of b.

Solution:

In a right angled triangle,

[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]

For the given right angled triangle,

[tex]\tan \theta = \dfrac{a}{b}[/tex]

[tex]\tan (30^\circ) = \dfrac{3\sqrt{3}}{b}[/tex]

[tex]\dfrac{1}{\sqrt{3}} = \dfrac{3\sqrt{3}}{b}[/tex]

On cross multiplication, we get

[tex]1\times b=3\sqrt{3}\times \sqrt{3}[/tex]

[tex]b=3(3)[/tex]

[tex]b=9[/tex]

Therefore, the value of b is 9.

Someone help!

Three customers have accounts owing money. The table shows the account balances.

Which customer owes the least amount of money?


Customer Balance

M. Palmer –$56.72

B. Leftwich –$74.19

R. Jordan –$54.31




M. Palmer

B. Leftwich

R. Jordan

Answers

i think it’s r.
jordan owes the least amount of money

The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?

Answers

Answer:

60 inches²

Step-by-step explanation:

Unit test

Help needed. 30 points to complete the table and do the second part.

Answers

Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

What is the domain of this quadratic function?

Answers

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

Sara missed 7 of 184 school days this year. Approximately what percent of school days was Sara present?
A. 4%
B. 96%
C. 177%
D. 7%​

Answers

Answer:

B. 96%

Step-by-step explanation:

Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and

177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173

then multiply by 100 to get percentage so approximately 96%.

PLS HELP! DUE IN 10 MINS PLS!!!!!!!!!!!!!!!

Answers

Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

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