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Popular >

simplify 8^{-4/3}

Solution

simplify

8^{- \frac{4}{3}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

8^{- \frac{4}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

3 (- \frac{4}{3}) = - 4

= 2^{- 4}

Apply exponent rule:

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

2^{- 4} = \frac{1}{2 ^{4}}

= \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is 8^{-4/3} ?
The solution to 8^{-4/3} is 1/16