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Popular >

simplify (4a^{-2}*b^3)^3

Solution

simplify

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

Solution

\frac{64 b ^{9}}{a ^{6}}

Solution steps

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

Apply exponent rule:

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

(4 a^{- 2} b^{3})^{3} = 4^{3} (a^{- 2})^{3} (b^{3})^{3}

= 4^{3} (a^{- 2})^{3} (b^{3})^{3}

4^{3} = 64

= 64 (a^{- 2})^{3} (b^{3})^{3}

Simplify

(a^{- 2})^{3} : \frac{1}{a ^{6}}

= 64 \cdot \frac{1}{a ^{6}} (b^{3})^{3}

Simplify

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

= 64 \cdot \frac{1}{a ^{6}} b^{9}

Simplify

64 \cdot \frac{1}{a ^{6}} b^{9} : \frac{64 b ^{9}}{a ^{6}}

= \frac{64 b ^{9}}{a ^{6}}

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Frequently Asked Questions (FAQ)

What is (4a^{-2}*b^3)^3 ?
The solution to (4a^{-2}*b^3)^3 is (64b^9)/(a^6)