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Popular >

simplify (8a^6b^{3/2})^{2/3}

Solution

simplify

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

Solution

4 a^{4} b

Solution steps

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

Apply exponent rule:

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

(8 a^{6} b^{\frac{3}{2}})^{\frac{2}{3}} = 8^{\frac{2}{3}} (a^{6})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

= 8^{\frac{2}{3}} (a^{6})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

8^{\frac{2}{3}} = 4

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

Simplify

(a^{6})^{\frac{2}{3}} : a^{4}

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

Simplify

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

= 4 a^{4} b

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Frequently Asked Questions (FAQ)

What is (8a^6b^{3/2})^{2/3} ?
The solution to (8a^6b^{3/2})^{2/3} is 4a^4b