What is (8m)^2*m^{-6} ?

The solution to (8m)^2*m^{-6} is (64)/(m^4)

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simplify (8m)^2*m^{-6}

simplify

(8 m)^{2} \cdot m^{- 6}

\frac{64}{m ^{4}}

Solution steps

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

Simplify

(8 m)^{2} : 64 m^{2}

= 64 m^{2} m^{- 6}

Apply exponent rule:

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

m^{- 6} = \frac{1}{m ^{6}}

= 64 m^{2} \frac{1}{m ^{6}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{64 m ^{2} \cdot 1}{m ^{6}}

Multiply the numbers:

64 \cdot 1 = 64

= \frac{64 m ^{2}}{m ^{6}}

Simplify

\frac{m ^{2}}{m ^{6}} : \frac{1}{m ^{4}}

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

- 9 + (- 15)

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