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Popular >

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

Solution

simplify

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

Solution

4

Solution steps

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

Factor

4^{- 3} : 2^{- 6}

= \frac{2 ^{- 6}}{2 ^{- 8}}

Apply exponent rule:

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

= 2^{- 6 - (- 8)}

- 6 - (- 8) = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

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