Exercise
$\left(\sqrt[3]{a^3b^2}\right)\left(\sqrt[6]{a^3b^5}\right)$
Step-by-step Solution
Learn how to solve division of numbers problems step by step online. Simplify the expression (a^3b^2)^(1/3)(a^3b^5)^(1/6). The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt[3]{a^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{3}. Simplify \sqrt[3]{b^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}.
Simplify the expression (a^3b^2)^(1/3)(a^3b^5)^(1/6)
Final answer to the exercise
$a^{\frac{3}{2}}\sqrt{b^{3}}$