Chapter 11.1, Problem 11CFU

To determine

To evaluate the given expression.

Answer to Problem 11CFU

  $\sqrt{2^{5n+7}}$

Explanation of Solution

Given:

The given expression is $\sqrt{\frac{8^n\cdot 2^7}{4^{-n}}}$

Calculation:

Finding the value of the expression as follows-

  $\begin{array}{l}\sqrt{\frac{8^n\cdot 2^7}{4^{-n}}}\\ =\sqrt{\frac{2^{3n}\cdot 2^7}{2^{-2n}}}\\ =\sqrt{2^{3n+2n+7}}\\ =\sqrt{2^{5n+7}}\end{array}$