Free Printable Exponent Rules and Exponential Function Review

1.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

2.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

3.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

4.

8⁰ = 0

a)

True

b)

False

5.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

6.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

7.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

8.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

9.

Simplify the expression:
(a⁵)(a⁴)

a)

a²⁰

b)

a⁹

c)

a¹

10.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

11.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

12.

simplify 7^-2

a)

1/7²= 1/49

b)

-49

c)

-14

d)

1/14

13.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

14.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

15.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

16.

Simplify: $\left(4y\right)^{-3}$

a)

$\frac{1}{64y^3}$

b)

$64y^{-3}$

c)

$-12y^{-3}$

d)

$\frac{64}{y^3}$

17.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

18.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

19.

If the decay rate is 20%, which of the following represent the decay factor?

a)

0.2

b)

0.8

c)

1.2

d)

1.8

20.

If the growth rate is 80%, what is the growth factor?

a)

0.2

b)

0.8

c)

1.2

d)

1.8

21.

A flea medicine breaks down at a rate of 20% per hour. This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

a)

$y=60\left(.2\right)^x$

b)

$y=20\left(60\right)^x$

c)

$y=60\left(.8\right)^x$

d)

$y=60\left(1.2\right)^x$

22.

Select all the equations that represent exponential decay.

a)

$y=\frac{1}{2}\left(4\right)^x$

b)

$y=4\left(\frac{1}{2}\right)^x$

c)

$y=80\left(1.4\right)^x$

d)

$y=60\left(0.7\right)^x$

e)

$y=3\left(0.6\right)^x$

23.

Find the decay factor from the given graph.

a)

$3$

b)

$1$

c)

$\frac{1}{3}$

d)

$\frac{1}{9}$

24.

Find the balance in the account after the given period.

$12,000 principal earing 4.8% compounded annually after 7 years.

a)

$3,243.19

b)

$16,661.35

c)

$15,243.19

d)

$4,661.35

25.

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

a)

$5,229.70

b)

$7,604.38

c)

$7,777.27

d)

$5,538.86

Exponent Rules and Exponential Function Review

Total questions: 25

Worksheet time: 33mins

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