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Popular >

simplify (a^{-4}b^{-8})^{3/4}

Solution

simplify

(a^{- 4} b^{- 8})^{\frac{3}{4}}

Solution

\frac{1}{a ^{3} b ^{6}}

Solution steps

(a^{- 4} b^{- 8})^{\frac{3}{4}}

Apply exponent rule:

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

(a^{- 4} b^{- 8})^{\frac{3}{4}} = (a^{- 4})^{\frac{3}{4}} (b^{- 8})^{\frac{3}{4}}

= (a^{- 4})^{\frac{3}{4}} (b^{- 8})^{\frac{3}{4}}

Simplify

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

= \frac{1}{a ^{3}} (b^{- 8})^{\frac{3}{4}}

Simplify

(b^{- 8})^{\frac{3}{4}} : \frac{1}{b ^{6}}

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

Simplify

\frac{1}{a ^{3}} \cdot \frac{1}{b ^{6}} : \frac{1}{a ^{3} b ^{6}}

= \frac{1}{a ^{3} b ^{6}}

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Frequently Asked Questions (FAQ)

What is (a^{-4}b^{-8})^{3/4} ?
The solution to (a^{-4}b^{-8})^{3/4} is 1/(a^3b^6)