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Popular >

simplify-(3/5)^{-2}

Solution

simplify

- (\frac{3}{5})^{- 2}

Solution

- \frac{25}{9}

+1

Decimal Notation

- 2.77777 \dots

Solution steps

- (\frac{3}{5})^{- 2}

Apply exponent rule:

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

(\frac{3}{5})^{- 2} = \frac{1}{( \frac{3}{5} ) ^{2}}

= - \frac{1}{( \frac{3}{5} ) ^{2}}

(\frac{3}{5})^{2} = \frac{9}{25}

= - \frac{1}{\frac{9}{25}}

Apply the fraction rule:

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

= - \frac{25}{9}

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Frequently Asked Questions (FAQ)

What is simplify-(3/5)^{-2} ?
The solution to simplify-(3/5)^{-2} is -25/9