Chapter 1, Problem 16SGR

To determine

The value of the expression $4^4$ .

Answer to Problem 16SGR

  $256$

Explanation of Solution

Given:

The expression, $4^4$

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 $4^4$ , observe that the base 4 has an exponent 4. So, the base 4 will get multiplied to itself 4 times.

So, the value of the expression is

  $\begin{array}{c}{4}^4=4\cdot 4\cdot 4\cdot 4\\ =256\end{array}$

Thus, the value of the given expressionis $256$ .