What is (15m^{-7})/(3(m^{-2))^4} ?

The solution to (15m^{-7})/(3(m^{-2))^4} is 5m

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simplify (15m^{-7})/(3(m^{-2))^4}

simplify

\frac{15 m ^{- 7}}{3 ( m ^{- 2} ) ^{4}}

5 m

Solution steps

\frac{15 m ^{- 7}}{3 ( m ^{- 2} ) ^{4}}

Simplify

(m^{- 2})^{4} : \frac{1}{m ^{8}}

= \frac{15 m ^{- 7}}{3 \cdot \frac{1}{m ^{8}}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 m ^{- 7}}{3 \cdot \frac{1}{m ^{8}}}

Cancel the common factor:

3

= \frac{5 m ^{- 7}}{\frac{1}{m ^{8}}}

Simplify

\frac{5 m ^{- 7}}{\frac{1}{m ^{8}}} : 5 m

= 5 m

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

4 = 5 x

x^{2} (\frac{1}{2} x^{- \frac{1}{2}})

\frac{5 ^{7}}{5 ^{4}}

6 (2 x - 1) - 4 = 7 x

What is (15m^{-7})/(3(m^{-2))^4} ?
The solution to (15m^{-7})/(3(m^{-2))^4} is 5m