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Popular >

simplify 2/(4^{-2)}

Solution

simplify

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

Solution

32

Solution steps

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

Factor

4^{- 2} : 2^{- 4}

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

Apply exponent rule:

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

= 2^{1 - (- 4)}

1 - (- 4) = 5

= 2^{5}

2^{5} = 32

= 32

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Frequently Asked Questions (FAQ)

What is 2/(4^{-2)} ?
The solution to 2/(4^{-2)} is 32