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Popular >

simplify+64^{-5/6}

Solution

simplify

+ 6 4^{- \frac{5}{6}}

Solution

\frac{1}{32}

+1

Decimal Notation

0.03125

Solution steps

6 4^{- \frac{5}{6}}

Factor the number:

64 = 2^{6}

= (2^{6})^{- \frac{5}{6}}

Apply exponent rule:

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

= 2^{6 (- \frac{5}{6})}

6 (- \frac{5}{6}) = - 5

= 2^{- 5}

Apply exponent rule:

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

2^{- 5} = \frac{1}{2 ^{5}}

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

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factor+81g^2-90gh+25h^2 factor

+ 81 g^{2} - 90 g h + 25 h^{2}

Frequently Asked Questions (FAQ)

What is simplify+64^{-5/6} ?
The solution to simplify+64^{-5/6} is 1/32