What is (-5m^{-5})/(-3(m^{-5))^4} ?

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

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simplify (-5m^{-5})/(-3(m^{-5))^4}

simplify

\frac{- 5 m ^{- 5}}{- 3 ( m ^{- 5} ) ^{4}}

\frac{5 m ^{15}}{3}

Solution steps

\frac{- 5 m ^{- 5}}{- 3 ( m ^{- 5} ) ^{4}}

Apply the fraction rule:

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

= \frac{5 m ^{- 5}}{3 ( m ^{- 5} ) ^{4}}

Simplify

5 m^{- 5} : \frac{5}{m ^{5}}

= \frac{\frac{5}{m ^{5}}}{3 ( m ^{- 5} ) ^{4}}

Apply the fraction rule:

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

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

Simplify

m^{5} \cdot 3 (m^{- 5})^{4} : \frac{3}{m ^{15}}

= \frac{5}{\frac{3}{m ^{15}}}

Apply the fraction rule:

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

= \frac{5 m ^{15}}{3}

\frac{40 - x}{14} = \frac{x}{15} + \frac{x}{10}

2 x^{2} + 50 = 4

x^{2} = - 9 x

3 6^{\frac{1}{4}} \cdot 3 6^{\frac{1}{4}}

∣ 3 - 2 x ∣ = ∣ x + 5 ∣

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