What is (13/15)^{-8} ?

The solution to (13/15)^{-8} is (15^8)/(815730721)

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simplify (13/15)^{-8}

simplify

(\frac{13}{15})^{- 8}

\frac{1 5 ^{8}}{815730721}

Decimal Notation

3.14183 \dots

Solution steps

(\frac{13}{15})^{- 8}

Apply exponent rule:

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

(\frac{13}{15})^{- 8} = \frac{1}{( \frac{13}{15} ) ^{8}}

= \frac{1}{( \frac{13}{15} ) ^{8}}

(\frac{13}{15})^{8} = \frac{815730721}{1 5 ^{8}}

= \frac{1}{\frac{815730721}{1 5 ^{8}}}

Apply the fraction rule:

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

= \frac{1 5 ^{8}}{815730721}

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