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Popular >

simplify 1024^{-4/5}

Solution

simplify

102 4^{- \frac{4}{5}}

Solution

\frac{1}{256}

+1

Decimal Notation

0.00390625

Solution steps

102 4^{- \frac{4}{5}}

Factor the number:

1024 = 4^{5}

= (4^{5})^{- \frac{4}{5}}

Apply exponent rule:

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

= 4^{5 (- \frac{4}{5})}

5 (- \frac{4}{5}) = - 4

= 4^{- 4}

Apply exponent rule:

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

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

= \frac{1}{4 ^{4}}

4^{4} = 256

= \frac{1}{256}

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Frequently Asked Questions (FAQ)

What is 1024^{-4/5} ?
The solution to 1024^{-4/5} is 1/256