Chapter 9.4, Problem 51HP

To determine

Toshow:The steps to rewrite an expression with negative power as fraction

Answer to Problem 51HP

  $\frac{1}{2^4}$

Explanation of Solution

Given information:

An expression with negative exponent, let’s assume $2^{-4}$

Formula Used:

  $a^{-n}=\frac{1}{a^n}$

Where $a$ is any value and $-n$ is its exponent.

Calculation:

Step-1

We will compare the given expression with general form of $a^{-n}$

In $2^{-4}$ , 2 in the value and -4 is its exponent.

Step-2

Rewrite the negative power ad fraction-

  $2^{-4}=\frac{1}{2^4}$