Chapter PSDT, Problem 1AP

Express each of the following without an exponent.

$4^3$

To determine

To calculate: The equivalent expression for $4^3$ without exponents.

Answer to Problem 1AP

Solution:

The equivalent expression for $4^3$ is 64.

Explanation of Solution

Given Information:

The expression is $4^3$.

Formula Used:

For an expression $a^n$, a is any real number called a base and n is an integer called the exponent. It is the product of n factors written as,

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

Calculation:

Consider the expression,

$4^3$

Thus, $4^3$ is written as

$\begin{array}{ccc}\hfill 4^3& =& 4\cdot 4\cdot 4\hfill \\ \hfill & =& 16\cdot 4\hfill \\ \hfill & =& 64\hfill \end{array}$

Hence, the expression $4^3$ without the exponent is equal to 64.