Free Printable Exponent Rules: Negative Exponents

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.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

10.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

11.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

12.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

13.

Simplify
(-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

Exponent Rules: Negative Exponents

Total questions: 13

Worksheet time: 3hrs 15mins

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