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Popular >

simplify ((-c)/a)^{-2}

Solution

simplify

(\frac{- c}{a})^{- 2}

Solution

\frac{a ^{2}}{c ^{2}}

Solution steps

(\frac{- c}{a})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{- c}{a})^{- 2} = \frac{1}{( \frac{- c}{a} ) ^{2}}

= \frac{1}{( \frac{- c}{a} ) ^{2}}

Simplify

(\frac{- c}{a})^{2} : \frac{c ^{2}}{a ^{2}}

= \frac{1}{\frac{c ^{2}}{a ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{a ^{2}}{c ^{2}}

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Frequently Asked Questions (FAQ)

What is ((-c)/a)^{-2} ?
The solution to ((-c)/a)^{-2} is (a^2)/(c^2)