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Popular >

simplify (3/25)^{-2}

Solution

simplify

(\frac{3}{25})^{- 2}

Solution

\frac{625}{9}

+1

Decimal Notation

69.44444 \dots

Solution steps

(\frac{3}{25})^{- 2}

Apply exponent rule:

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

(\frac{3}{25})^{- 2} = \frac{1}{( \frac{3}{25} ) ^{2}}

= \frac{1}{( \frac{3}{25} ) ^{2}}

(\frac{3}{25})^{2} = \frac{9}{625}

= \frac{1}{\frac{9}{625}}

Apply the fraction rule:

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

= \frac{625}{9}

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Frequently Asked Questions (FAQ)

What is (3/25)^{-2} ?
The solution to (3/25)^{-2} is 625/9