Question

Simplify open parentheses x to the 2 third power close parentheses to the 4 fifths power.

Answer 1

Answer:  $x^{\frac{8}{15}}$

Or x to the power of 8/15.

Step-by-step explanation:

Here, the given expression is,

$(x^{\frac{2}{3}})^{\frac{4}{5}}$

$=x^{\frac{2}{3}\times \frac{4}{5}}$      $((a^m)^n=a^{m\times n})$

$=x^{\frac{8}{15}}$

Which is the required simplified of the given expression.

Answer 2

X to the 8/15 power. When you have a power raised to another power, you multiply the exponents.