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Popular >

simplify ((2m)/(2^{-3)})^2

Solution

simplify

(\frac{2 m}{2 ^{- 3}})^{2}

Solution

256 m^{2}

Solution steps

(\frac{2 m}{2 ^{- 3}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(2 m)^{2} : 4 m^{2}

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

(2^{- 3})^{2} = \frac{1}{64}

= \frac{4 m ^{2}}{\frac{1}{64}}

Simplify

\frac{4 m ^{2}}{\frac{1}{64}} : 256 m^{2}

= 256 m^{2}

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Frequently Asked Questions (FAQ)

What is ((2m)/(2^{-3)})^2 ?
The solution to ((2m)/(2^{-3)})^2 is 256m^2