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Popular >

simplify 64^{-7/6}

Solution

simplify

6 4^{- \frac{7}{6}}

Solution

\frac{1}{128}

+1

Solution steps

6 4^{- \frac{7}{6}}

Factor the number:

64 = 2^{6}

= (2^{6})^{- \frac{7}{6}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{6 (- \frac{7}{6})}

6 (- \frac{7}{6}) = - 7

= 2^{- 7}

Apply exponent rule:

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

2^{- 7} = \frac{1}{2 ^{7}}

= \frac{1}{2 ^{7}}

2^{7} = 128

= \frac{1}{128}

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Frequently Asked Questions (FAQ)

What is 64^{-7/6} ?
The solution to 64^{-7/6} is 1/128