Solve (64a^12b^3b^(3/2))^(2/3)

Evaluate

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

Multiply

More Steps

(128 a b^{\frac{9}{2}})^{\frac{2}{3}}

To raise a product to a power,raise each factor to that power

12 8^{\frac{2}{3}} a^{\frac{2}{3}} (b^{\frac{9}{2}})^{\frac{2}{3}}

Evaluate the power

More Steps

12 8^{\frac{2}{3}} a^{\frac{2}{3}} b^{3}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

More Steps

16 3 2^{2} \times a^{\frac{2}{3}} b^{3}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

16 3 2^{2} \times 3 a^{2} \times b^{3}

Solution

16 3 4 a^{2} \times b^{3}

Simplify the expression