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Popular >

simplify (64a^3b^{-6})^{2/3}

Solution

simplify

(64 a^{3} b^{- 6})^{\frac{2}{3}}

Solution

\frac{16 a ^{2}}{b ^{4}}

Solution steps

(64 a^{3} b^{- 6})^{\frac{2}{3}}

Apply exponent rule:

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

(64 a^{3} b^{- 6})^{\frac{2}{3}} = 6 4^{\frac{2}{3}} (a^{3})^{\frac{2}{3}} (b^{- 6})^{\frac{2}{3}}

= 6 4^{\frac{2}{3}} (a^{3})^{\frac{2}{3}} (b^{- 6})^{\frac{2}{3}}

6 4^{\frac{2}{3}} = 16

= 16 (a^{3})^{\frac{2}{3}} (b^{- 6})^{\frac{2}{3}}

Simplify

(a^{3})^{\frac{2}{3}} : a^{2}

= 16 a^{2} (b^{- 6})^{\frac{2}{3}}

Simplify

(b^{- 6})^{\frac{2}{3}} : \frac{1}{b ^{4}}

= 16 a^{2} \frac{1}{b ^{4}}

Simplify

16 a^{2} \frac{1}{b ^{4}} : \frac{16 a ^{2}}{b ^{4}}

= \frac{16 a ^{2}}{b ^{4}}

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Frequently Asked Questions (FAQ)

What is (64a^3b^{-6})^{2/3} ?
The solution to (64a^3b^{-6})^{2/3} is (16a^2)/(b^4)