What is (5/8)^{-8}*8^{-8} ?

The solution to (5/8)^{-8}*8^{-8} is 1/390625

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simplify (5/8)^{-8}*8^{-8}

simplify

(\frac{5}{8})^{- 8} \cdot 8^{- 8}

\frac{1}{390625}

Decimal Notation

0.00000256

Solution steps

(\frac{5}{8})^{- 8} \cdot 8^{- 8}

(\frac{5}{8})^{- 8} = \frac{16777216}{390625}

= \frac{16777216}{390625} \cdot 8^{- 8}

Apply exponent rule:

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

8^{- 8} = \frac{1}{8 ^{8}}

= \frac{16777216}{390625} \cdot \frac{1}{8 ^{8}}

8^{8} = 16777216

= \frac{16777216}{390625} \cdot \frac{1}{16777216}

Cross-cancel common factor:

16777216

= \frac{1}{390625}

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