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Popular >

simplify (12m^2)/((4m)^{-4)}

Solution

simplify

\frac{12 m ^{2}}{( 4 m ) ^{- 4}}

Solution

3072 m^{6}

Solution steps

\frac{12 m ^{2}}{( 4 m ) ^{- 4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 m)^{- 4} = 4^{- 4} m^{- 4}

= \frac{12 m ^{2}}{4 ^{- 4} m ^{- 4}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 m ^{2}}{4 ^{- 4} m ^{- 4}}

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

= \frac{4 ^{5} \cdot 3 m ^{2}}{m ^{- 4}}

Simplify

\frac{m ^{2}}{m ^{- 4}} : m^{6}

= 4^{5} \cdot 3 m^{6}

Simplify

4^{5} \cdot 3 m^{6} : 3072 m^{6}

= 3072 m^{6}

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Frequently Asked Questions (FAQ)

What is (12m^2)/((4m)^{-4)} ?
The solution to (12m^2)/((4m)^{-4)} is 3072m^6