Chapter 11.1, Problem 54E

To determine

To express using rational exponents.

Answer to Problem 54E

  $60r^{10}{s}^7{t}^{\frac{27}{8}}$

Explanation of Solution

Given:

The given expression is $60\sqrt[8]{r^{80}{s}^{56}{t}^{27}}$

Calculation:

Expressing the expression using rational exponents as follows-

  $\begin{array}{l}60\sqrt[8]{r^{80}{s}^{56}{t}^{27}}\\ =60r^{80\times \frac{1}{8}}{s}^{56\times \frac{1}{8}}\times t^{27\times \frac{1}{8}}\\ =60r^{10}{s}^7{t}^{\frac{27}{8}}\end{array}$