Match each expression with its equivalent expression. A. sqrt [4](2^5) B. sqrt (5) sqrt [5](2^4) D. sqrt [5](2) 2^(5)/(4) is 2^(4)/(5) 5^(1)/(2) Drag each of the expressions given above into the appropriate area below, matching the expressions given in the problem statement A B

To match each expression with its equivalent expression, we need to simplify each expression and find its equivalent form.<br /><br />A. $\sqrt [4]{2^{5}}$<br />This expression can be simplified as $2^{\frac{5}{4}}$.<br /><br />B. $\sqrt {5}$<br />This expression can be simplified as $5^{\frac{1}{2}}$.<br /><br />C. $\sqrt [5]{2^{4}}$<br />This expression can be simplified as $2^{\frac{4}{5}}$.<br /><br />D. $\sqrt [5]{2}$<br />This expression can be simplified as $2^{\frac{1}{5}}$.<br /><br />Now, let's match each expression with its equivalent expression:<br /><br />A. $\sqrt [4]{2^{5}}$ is equivalent to $2^{\frac{5}{4}}$.<br />B. $\sqrt {5}$ is equivalent to $5^{\frac{1}{2}}$.<br />C. $\sqrt [5]{2^{4}}$ is equivalent to $2^{\frac{4}{5}}$.<br />D. $\sqrt [5]{2}$ is equivalent to $2^{\frac{1}{5}}$.<br /><br />Therefore, the matching is as follows:<br />A. $\sqrt [4]{2^{5}}$ is $2^{\frac{5}{4}}$<br />B. $\sqrt {5}$ is $5^{\frac{1}{2}}$<br />C. $\sqrt [5]{2^{4}}$ is $2^{\frac{4}{5}}$<br />D. $\sqrt [5]{2}$ is $2^{\frac{1}{5}}$