What is ((-2j^3k)/(3jm^3))^3 ?

The solution to ((-2j^3k)/(3jm^3))^3 is -(8j^6k^3)/(27m^9)

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simplify ((-2j^3k)/(3jm^3))^3

simplify

(\frac{- 2 j ^{3} k}{3 j m ^{3}})^{3}

- \frac{8 j ^{6} k ^{3}}{27 m ^{9}}

Solution steps

(\frac{- 2 j ^{3} k}{3 j m ^{3}})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 2 j ^{3} k ) ^{3}}{( 3 j m ^{3} ) ^{3}}

Simplify

(- 2 j^{3} k)^{3} : - 8 j^{9} k^{3}

= \frac{- 8 j ^{9} k ^{3}}{( 3 j m ^{3} ) ^{3}}

Simplify

(3 j m^{3})^{3} : 27 j^{3} m^{9}

= \frac{- 8 j ^{9} k ^{3}}{27 j ^{3} m ^{9}}

Apply the fraction rule:

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

= - \frac{8 j ^{9} k ^{3}}{27 j ^{3} m ^{9}}

Apply exponent rule:

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

\frac{j ^{9}}{j ^{3}} = j^{9 - 3}

= \frac{8 k ^{3} j ^{9 - 3}}{27 m ^{9}}

Subtract the numbers:

9 - 3 = 6

= - \frac{8 j ^{6} k ^{3}}{27 m ^{9}}

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What is ((-2j^3k)/(3jm^3))^3 ?
The solution to ((-2j^3k)/(3jm^3))^3 is -(8j^6k^3)/(27m^9)