Exercise
$\sqrt[3]{16a^4b^6}$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Solve the product power (16a^4b^6)^(1/3). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[3]{a^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{3}. Simplify \sqrt[3]{b^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{3}. Multiply the fraction and term in 4\cdot \left(\frac{1}{3}\right).
Solve the product power (16a^4b^6)^(1/3)
Final answer to the exercise
$\sqrt[3]{16}\sqrt[3]{a^{4}}b^{2}$