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

The solution to ((a^3)/(5m))^{-4} is (625m^4)/(a^{12)}

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

simplify

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

\frac{625 m ^{4}}{a ^{12}}

Solution steps

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

Apply exponent rule:

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

(\frac{a ^{3}}{5 m})^{- 4} = \frac{1}{( \frac{a ^{3}}{5 m} ) ^{4}}

= \frac{1}{( \frac{a ^{3}}{5 m} ) ^{4}}

Simplify

(\frac{a ^{3}}{5 m})^{4} : \frac{a ^{12}}{625 m ^{4}}

= \frac{1}{\frac{a ^{12}}{625 m ^{4}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{625 m ^{4}}{a ^{12}}

x + 6 < 5 x - 6

x^{2} - 9 = x + 11

(- 2)^{5}

\frac{- 40 c ^{9} d ^{4}}{5 c ^{3} d ^{7}}

(\frac{17}{2})^{2}

What is ((a^3)/(5m))^{-4} ?
The solution to ((a^3)/(5m))^{-4} is (625m^4)/(a^{12)}