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Popular >

simplify (a^{-3}b^2)^3

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

Simplify

(a^{- 3})^{3} : \frac{1}{a ^{9}}

= \frac{1}{a ^{9}} (b^{2})^{3}

Simplify

(b^{2})^{3} : b^{6}

= \frac{1}{a ^{9}} b^{6}

Simplify

\frac{1}{a ^{9}} b^{6} : \frac{b ^{6}}{a ^{9}}

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

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Frequently Asked Questions (FAQ)

What is (a^{-3}b^2)^3 ?
The solution to (a^{-3}b^2)^3 is (b^6)/(a^9)