Question

Simplify open parentheses x to the 2 fifths power close parentheses to the 5 sixths power.

Answer 1

Answer:

$x^{\frac{1}{3}}$.

Step-by-step explanation:

We have been given an expression $(x^{\frac{2}{5}})^{\frac{5}{6}}$. We are asked to simplify our given expression.

Using Power Rule of exponents $(a^b)^c=a^{b\times c}$, we can rewrite our expression as:

$x^{\frac{2}{5}\times\frac{5}{6}}$

Upon simplifying our expression, we will get:

$x^{\frac{10}{30}}$

$x^{\frac{1}{3}}$

Therefore, the simplified form of our given expression would be $x^{\frac{1}{3}}$.

Answer 2

$\left(x^{ \frac{2}{5} } \right)^{ \frac{5}{6} }=x^{ \frac{2}{5}* \frac{5}{6} }=x^{ \frac{1}{3} }= \sqrt[3]{x}$