What is ((-2a^2)/(b^3))^3 ?

The solution to ((-2a^2)/(b^3))^3 is -(8a^6)/(b^9)

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simplify ((-2a^2)/(b^3))^3

simplify

(\frac{- 2 a ^{2}}{b ^{3}})^{3}

- \frac{8 a ^{6}}{b ^{9}}

Solution steps

(\frac{- 2 a ^{2}}{b ^{3}})^{3}

Apply exponent rule:

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

= \frac{( - 2 a ^{2} ) ^{3}}{( b ^{3} ) ^{3}}

Simplify

(- 2 a^{2})^{3} : - 8 a^{6}

= \frac{- 8 a ^{6}}{( b ^{3} ) ^{3}}

Simplify

(b^{3})^{3} : b^{9}

= \frac{- 8 a ^{6}}{b ^{9}}

Apply the fraction rule:

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

= - \frac{8 a ^{6}}{b ^{9}}

\frac{\frac{( 27 x - 9 )}{3}}{4}

p^{1} (- 4.6) p^{2} (- 5.1)

(x - y)^{3} - 8 (x + y)^{3}

(3 m)^{2}

x^{4} + 2 x^{2} y + y^{2}