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The learner will perform operations on expressions containing negative exponents.

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Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$7^{-1}$

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

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$5^{-2}$

$-\frac{1}{25}$
$-25$
$\frac{1}{25}$
$25\tfrac{}{}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\frac{1}{4^{-3}}$

$64$
$-\frac{1}{64}$
$-64$
$\frac{1}{64}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$y^{-4}$

$-y^{4}$
$\frac{1}{y^{4}}$
$y^{4}$
$-\frac{1}{y^{4}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\left ( 2x\right )^{-3}$

$\frac{1}{2x^{3}}$
$\frac{2}{x^{3}}$
$\frac{1}{8x^{3}}$
$-8x^{3}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$2c^{-5}$

$-32c^{5}$
$\frac{2}{c^{5}}$
$\frac{1}{32c^{5}}$
$\frac{1}{2c^{5}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$3pr^{-2}$

$\frac{3p}{r^{2}}$
$\frac{1}{9p^{2}r^{2}}$
$\frac{3}{pr^{2}}$
$\frac{9p}{r^{2}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$-7q^{-2}$

$-\frac{1}{49q^{2}}$
$\frac{49}{q^{2}}$
$-\frac{1}{7q^{2}}$
$-\frac{7}{q^{2}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$-\frac{3x}{a^{-4}}$

$\frac{a^{4}}{3x}$
$-\frac{3a^{4}}x{}$
$\frac{3x}{a^{4}}$
$-3a^{4}x$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\frac{4b}{-9c^{-1}}$

$-\frac{9c}{4b}$
$\frac{4b}{9c}$
$-\frac{4bc}{9}$
$-36bc$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\frac{3x^{-2}}{2y^{-3}}$

$\frac{9y^{3}}{8x^{2}}$
$\frac{3y^{3}}{2x^{2}}$
$\frac{2y^{3}}{3x^{2}}$
$\frac{8y^{3}}{9x^{2}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$-\frac{7ab^{-2}}{6c^{-2}}$

$-\frac{7c^{2}}{6ab^{2}}$
$-\frac{6c^{2}}{7ab^{2}}$
$\frac{6b^{2}}{7ac^{2}}$
$-\frac{7ac^{2}}{6b^{2}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\frac{w\left ( xy\right )^{-5}}{\left ( 8tv\right )^{-2}}$

$\frac{64t^{2}v^{2}w}{x^{5}y^{5}}$
$\frac{wxv^{2}}{8ty^{5}}$
$\frac{64t^{2}v^{2}}{w^{5}x^{5}y^{5}}$
$\frac{8t^{2}v^{2}w}{x^{5}y^{5}}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\left ( \frac{4}{9} \right )^{-2}$

$-\frac{16}{81}$
$\frac{1}{144}$
$\frac{9}{16}$
$\frac{81}{16}$

Question 1 of 10

Negative Exponents

Simplify the following expression and write the result using only positive exponents.

$\left ( \frac{5a}{3bc}\right )^{-3}$

$\frac{3b^{3}c^{3}}{5a^{3}}$
$\frac{27b^{3}c^{3}}{125a^{3}}$
$-\frac{125a^{3}}{27b^{3}c^{3}}$
$\frac{5c^{3}}{3a^{3}b}$

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

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Negative Exponents by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.