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Popular >

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

Solution

simplify

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

Solution

\frac{b ^{4}}{a ^{12}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(a^{- 3})^{4} : \frac{1}{a ^{12}}

= \frac{1}{a ^{12}} b^{4}

Simplify

\frac{1}{a ^{12}} b^{4} : \frac{b ^{4}}{a ^{12}}

= \frac{b ^{4}}{a ^{12}}

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Frequently Asked Questions (FAQ)

What is (a^{-3}b)^4 ?
The solution to (a^{-3}b)^4 is (b^4)/(a^{12)}