Chapter 1, Problem 14SGR

To determine

The value of the expression $2^5$ .

Answer to Problem 14SGR

  $32$

Explanation of Solution

Given:

The expression, $2^5$

Concept used:

The exponent term $a^n$ , implies that the base a is multiplied with itself n times. That is,

  $a^n=a\cdot a\cdot a\cdot \mathrm{...}\cdot a\left(n\text{ time}\right)$

Calculation:

In order to evaluate the value of the expression $2^5$ , observe that the base 2 has an exponent 5. So, the base 2 will get multiplied to itself 5 times.

So, the value of the expression is

  $\begin{array}{c}{2}^5=2\cdot 2\cdot 2\cdot 2\cdot 2\\ =32\end{array}$

Thus, the value of the given expressionis $32$ .