Chapter 8.4, Problem 58SR

To determine

To calculate:

The simplified value of the given expression

Answer to Problem 58SR

The simplified value of the expression is $y^4$

Explanation of Solution

Given information:

The expression is $y^{\frac{5}{3}}\cdot y^{\frac{7}{3}}$

Calculation:

The given expression can be calculated as,

  $\begin{array}{l}{y}^{\frac{5}{3}}\cdot y^{\frac{7}{3}}\\ =y^{\frac{5}{3}+\frac{7}{3}}\left[\text{Add powers}\right]\\ =y^{\frac{12}{3}}\left[\text{Add exponents}\right]\\ =y^4\left[\text{Simplify}\right]\end{array}$

Therefore, the simplified value of the expression is $y^4$