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Popular >

simplify (-2/5)^{-2}

Solution

simplify

(- \frac{2}{5})^{- 2}

Solution

\frac{25}{4}

+1

Solution steps

(- \frac{2}{5})^{- 2}

Apply exponent rule:

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

(- \frac{2}{5})^{- 2} = \frac{1}{( - \frac{2}{5} ) ^{2}}

= \frac{1}{( - \frac{2}{5} ) ^{2}}

(- \frac{2}{5})^{2} = \frac{4}{25}

= \frac{1}{\frac{4}{25}}

Apply the fraction rule:

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

= \frac{25}{4}

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Frequently Asked Questions (FAQ)

What is (-2/5)^{-2} ?
The solution to (-2/5)^{-2} is 25/4