Free Printable Exponent Rules Review

1.

Simplify: $2^{-4}$

a)

$-8$

b)

$-16$

c)

$-\frac{1}{8}$

d)

$\frac{1}{16}$

2.

$x^{-7}$

a)

$\frac{1}{x^{-7}}$

b)

$\frac{1}{x^7}$

c)

$x^7$

d)

$7x$

3.

Rewrite using a Positive Exponent: $5n^{-9}$

a)

$-5n^9$

b)

$-\frac{5}{n^9}$

c)

$\frac{5}{n^9}$

d)

$-45n$

4.

$\frac{1}{w^{-2}}$

a)

$w^2$

b)

$-2w$

c)

$\frac{2}{w}$

d)

$\frac{1}{w^2}$

5.

Simplify: $x^3\ \cdot\ x^{-3}$

a)

$x^{0\ }=\ \ 1$

b)

$x^{-1\ \ }=\ \ \frac{1}{x}$

c)

$2x^{-9}\ =\ \frac{2}{x^9}$

d)

$2x^0=\ 2$

6.

Simplify: $\frac{x^{-3}}{x^{-7}}$

a)

$x^{21}$

b)

$x^4$

c)

$\frac{1}{x^{21}}$

d)

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

7.

$\frac{x^5y^{-6}z}{x^{-3}y^{ }z^{-3}}$

a)

$\frac{x^8z^4}{y^7}$

b)

$\frac{x^2z^3}{y^5}$

c)

$\frac{x^8}{y^7z^4}$

d)

$\frac{x^2}{y^5z^2}$

8.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

9.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

10.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

11.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

12.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

13.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

14.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

15.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

16.

Anything (other than zero) raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

Exponent Rules Review

Total questions: 16

Worksheet time: 3hrs 33mins

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