Exercise
$\left(\sqrt{uv^3}\right)^5$
Step-by-step Solution
Learn how to solve powers of powers problems step by step online. Simplify the power of a power (uv^3)^(1/2)^5. Simplify \left(\sqrt{uv^3}\right)^5 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 5. Multiply the fraction and term in 5\left(\frac{1}{2}\right). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{\left(v^3\right)^{5}} 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{5}{2}.
Simplify the power of a power (uv^3)^(1/2)^5
Final answer to the exercise
$\sqrt{u^{5}}\sqrt{v^{15}}$