Chapter A, Problem 1E

Express as an equivalent expression without exponents.

$5^3$

To determine

To calculate: The equivalent expression for $5^3$ without exponents.

Answer to Problem 1E

Solution:

The equivalent expression for $5^3$ is 125.

Explanation of Solution

Given information:

The expression is $5^3$.

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,

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

Calculation:

Consider the expression,

$5^3$

Thus, $5^3$ is written by the use of formula $a^n=a\cdot a\cdot a\cdots a\left(n\text{ times}\right)$ as,

$\begin{array}{ccc}\hfill 5^3& =& 5\cdot 5\cdot 5\hfill \\ \hfill & =& 25\cdot 5\hfill \\ \hfill & =& 125\hfill \end{array}$

Hence, the expression $5^3$ without the exponent is equal to 125.