Exercise
$5\sqrt[6]{64a^2}-5\sqrt[3]{27a}+6\sqrt[9]{a^3}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression 5(64a^2)^(1/6)-5(27a)^(1/3)6a^3^(1/9). Simplify \sqrt[9]{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}{9}. The power of a product is equal to the product of it's factors raised to the same power. Multiply 5 times 2. Multiply -5 times 3.
Simplify the expression 5(64a^2)^(1/6)-5(27a)^(1/3)6a^3^(1/9)
Final answer to the exercise
$\sqrt[3]{a}$