Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 9: Practice 2

Write the following using exponents instead of the radicals:

${\left(\sqrt{x}\right)}^3$

Write the following using exponents instead of the radicals:

$\sqrt{x^5}$

Simplify. Where applicable, leave your final answer as a power of $x$.

${\left(x^{\frac{2}{3}}\right)}^2$

Simplify. Where applicable, leave your final answer as a power of $x$.

$x^{\frac{1}{3}}\times x^4$

Simplify. Where applicable, leave your final answer as a power of $x$.

$x^{\frac{1}{2}}\times x^{\frac{2}{3}}$

Simplify. Where applicable, leave your final answer as a power of $x$.

${\left(3^4\right)}^{\frac{1}{2}}$

Simplify. Where applicable, leave your final answer as a power of $x$.

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

Simplify. Where applicable, leave your final answer as a power of $x$.

${\left({32}^2\right)}^{\frac{2}{5}}$