Exercise
$\sqrt[3]{\sqrt[4]{a^8}}$
Step-by-step Solution
Learn how to solve powers of powers problems step by step online. Simplify the power of a power a^8^(1/4)^(1/3). Simplify \sqrt{a^8}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{4} and n equals \frac{1}{3}. Simplify \left(a^8\right)^{\frac{1}{4}\cdot \frac{1}{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{4}\cdot \frac{1}{3}. Multiply the fraction and term in 8\cdot \left(\frac{1}{4}\right)\cdot \left(\frac{1}{3}\right). Multiply 8 times 1.
Simplify the power of a power a^8^(1/4)^(1/3)
Final answer to the exercise
$\sqrt[3]{a^{2}}$