What is ((-8)^{-2})/(3^{-4)} ?

The solution to ((-8)^{-2})/(3^{-4)} is 81/64

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simplify ((-8)^{-2})/(3^{-4)}

simplify

\frac{( - 8 ) ^{- 2}}{3 ^{- 4}}

\frac{81}{64}

Solution steps

\frac{( - 8 ) ^{- 2}}{3 ^{- 4}}

(- 8)^{- 2} = \frac{1}{64}

= \frac{\frac{1}{64}}{3 ^{- 4}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{64 \cdot 3 ^{- 4}}

Simplify

64 \cdot 3^{- 4} : \frac{64}{81}

= \frac{1}{\frac{64}{81}}

Apply the fraction rule:

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

= \frac{81}{64}

2 x^{3} - 4 x^{2} - 3 x + 6

13 a^{2} + 121 a + 36

3 x^{2} = 24 x

x^{2} > - 4 x