Chapter 11.5, Problem 7OE

To determine

Tosolve: $\sqrt{\frac{16}{a^4}}$ .

Answer to Problem 7OE

  $\frac{4}{a^2}$

Explanation of Solution

By using the property of radical number such as $\sqrt{a^2}=\left|a\right|$ , the given equation $\sqrt{\frac{16}{a^4}}$ can be simplified as

  $\begin{array}{l}=\sqrt{{\left(\frac{4}{a^2}\right)}^2}\\ =\left|\frac{4}{a^2}\right|\\ =\frac{4}{a^2}\end{array}$