Chapter 4.2, Problem 48HP

To determine

To find : the mahala’s mistake and correct it.

Answer to Problem 48HP

The mistake done by Mahala’s is that she included 2 as the base of the $-2$ exponent and the correct answer is $2^{-3}\text{ or }\frac{1}{8}$

Explanation of Solution

Given information :

The expression evaluating by mahala’s is $2\cdot 4^{-2}$ .

The mistake done by the mahala’sis that she included 2 as the base of the $-2$ exponent

The correct method to solve the expression is

  $\begin{array}{l}2\cdot 4^{-2}\\ 2.\frac{1}{4^2}\\ 2\cdot \frac{1}{16}\\ \frac{1}{8}\text{ or }{2}^{-3}\\ \end{array}$

Hence, themistake done by Mahala’s is that she included 2 as the base of the $-2$ exponent and the correct answer is