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Popular >

simplify {[(3ab)^2]^2}^{-1}

Solution

simplify

{[(3 ab)^{2}]^{2}}^{- 1}

Solution

\frac{1}{81 a ^{4} b ^{4}}

Solution steps

{[(3 ab)^{2}]^{2}}^{- 1}

[(3 ab)^{2}]^{2} : (3 ab)^{4}

= {(3 ab)^{4}}^{- 1}

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

= (3^{4} a^{4} b^{4})^{- 1}

3^{4} = 81

= (81 a^{4} b^{4})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{81 a ^{4} b ^{4}}

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Frequently Asked Questions (FAQ)

What is {[(3ab)^2]^2}^{-1} ?
The solution to {[(3ab)^2]^2}^{-1} is 1/(81a^4b^4)