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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

2^{3} = 8

= 8 (a^{- 3})^{3} (b^{2})^{3}

Simplify

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

= 8 \cdot \frac{1}{a ^{9}} (b^{2})^{3}

Simplify

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

= 8 \cdot \frac{1}{a ^{9}} b^{6}

Simplify

8 \cdot \frac{1}{a ^{9}} b^{6} : \frac{8 b ^{6}}{a ^{9}}

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

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Frequently Asked Questions (FAQ)

What is (2a^{-3}*b^2)^3 ?
The solution to (2a^{-3}*b^2)^3 is (8b^6)/(a^9)