Free Printable Quiz 3 - Exponent Rules

1.

Which of the following choices represents the missing exponent (n)?

7^2\cdot7^n=7^8

a)

0

b)

2

c)

4

d)

6

2.

Which of the following choices represents the missing exponent "n"?
$\frac{r^n}{r^{-8}}=\frac{1}{r^3}$

a)

$n=11$

b)

$n=-11$

c)

$n=5$

d)

$n=-5$

3.

Which of the following choices represents the missing exponent (n)?

$\left(9^4\right)^n\ =\ 9^8$

a)

2

b)

8

c)

1

d)

4

4.

Simplify the expression.

\frac{4^0\cdot4^5}{4^{-3}}

a)

$1$

b)

$4^2$

c)

$4^8$

d)

$\frac{1}{4^8}$

5.

Simplify the expression.

\frac{\left(3^9\right)^{-2}}{3^{-10}\cdot3^0}

a)

$\frac{1}{3^{18}}$

b)

$\frac{1}{3^8}$

c)

$3^8$

d)

$3^{28}$

6.

Simplify the expression.

\frac{m^{-1}\cdot m^2}{m^5\cdot m^{-4}}

a)

$\frac{1}{m^6}$

b)

$1$

c)

$m^3$

d)

$m^6$

7.

Simplify the expression.

\left(\frac{c^2\cdot c^4}{c^3}\right)^3

a)

$\frac{1}{c^9}$

b)

$c^6$

c)

$c^9$

d)

$c^{15}$

8.

When raising an exponent to a higher power, the shortcut of _____________ can be used to simplify the expression. Ex:

\left(2^2\right)^5

a)

addition

b)

subtraction

c)

multiplication

d)

division

9.

When multiplying with exponents, the shortcut of _____________ can be used to simplify the expression. Ex:

2^2\cdot2^5

a)

addition

b)

subtraction

c)

multiplication

d)

division

10.

When dividing with exponents, the shortcut of _____________ can be used to simplify the expression. Ex:

\frac{2^5}{2^2}

a)

addition

b)

subtraction

c)

multiplication

d)

division

11.

Any base that is being raised to the power of zero will always have a value of ________. Ex:

4^0

a)

zero

b)

a negative number

c)

a positive number

d)

one

12.

Which of the following choices would be equal to

\frac{1}{6^2}

. Choose all the apply.

a)

$6^{-4}\cdot6^6$

b)

$\frac{1}{6}\cdot\frac{1}{6}$

c)

$6^{-2}$

d)

$\left(6^2\right)^{-1}$

e)

$\frac{6^4}{6^{-2}}$

13.

Simplify the expression.

\left(\frac{10^{-6}}{10^{-3}}\right)^0

a)

$\frac{1}{10^3}$

b)

$1$

c)

$10^3$

d)

$10^9$

14.

Which of the following would not be equivalent to $8^4$ ?

a)

$\frac{8^{-6}}{8^2}$

b)

$\left(8^{-1}\right)^{-4}$

c)

$8^6\cdot8^{-2}$

d)

$\frac{8^{-2}}{8^{-6}}$

15.

Simplify. Write your answer as a positive exponent.

$6^{-1}$

a)

$-6$

b)

$0$

c)

$\frac{1}{6}$

d)

$6$

16.

Simplify. Write your answer as a positive exponent.

$8^3\cdot\ 8^{-7}$

a)

$\frac{1}{8^{10}}$

b)

$\frac{1}{8^4}$

c)

$8^4$

d)

$8^{10}$

Quiz 3 - Exponent Rules

Total questions: 16

Worksheet time: 8mins

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