EXIT CARD - Rational Exponents - Rewrite each expression using rational exponents. You DO NOT need to evaluate. a) sqrt [3](-64)= b) sqrt [5](243^2)=

## Step 1: Rewrite cube root as rational exponent<br />### The cube root of a number can be rewritten as that number raised to the power of $\frac{1}{3}$. Therefore, $\sqrt[3]{-64}$ can be rewritten as $(-64)^{\frac{1}{3}}$.<br /><br />## Step 2: Rewrite fifth root and power as rational exponent<br />### The fifth root of a number raised to the power of 2 can be rewritten as that number raised to the power of $\frac{2}{5}$. Therefore, $\sqrt[5]{243^2}$ can be rewritten as $243^{\frac{2}{5}}$.