Chapter 7.5, Problem 1P

What is the value of each expression?

$\sqrt[3]{64}$

To determine

To find the value of given expression $\sqrt[3]{64}$ .

Answer to Problem 1P

  $\sqrt[3]{64}=4$

Explanation of Solution

Given:

  $\sqrt[3]{64}$

Calculation:

  $\begin{array}{l}\sqrt[3]{64}={\left(64\right)}^{\frac{1}{3}}\\ ={\left(4^3\right)}^{\frac{1}{3}}\\ ={\left(4\right)}^{3\times \frac{1}{3}}\\ ={\left(4\right)}^1\\ =4\end{array}$