Learn how to solve integrals of rational functions problems step by step online. Simplify the expression (16ab)^(1/2)^3(4a^3)^(1/6)b^2. Simplify \left(\sqrt{16ab}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 3. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. When multiplying exponents with same base we can add the exponents.

Simplify the expression (16ab)^(1/2)^3(4a^3)^(1/6)b^2