Chapter 1.4, Problem 16PPE

To determine

To Evaluate The expression $3^5$

Answer to Problem 16PPE

  $3^5=243$

Explanation of Solution

Given:

The expression $3^5$

Concept Used:

For $a$ and $n$

  $a^n=a\times a\times a\mathrm{...}\times a\text{ (}n\text{-times)}$

Calculation:

For the expression $3^5$

Using the rule that

For $a$ and $n$

  $a^n=a\times a\times a\mathrm{...}\times a\text{ (}n\text{-times)}$

Replacing $a$ with $3$ and $n$ with $5$

  $\begin{array}{c}{3}^5=3\times 3\times 3\times 3\times 3\\ =9\times 3\times 3\times 3\\ =27\times 3\times 3\\ =81\times 3\end{array}$

  $=243$

Therefore, $3^5=243$

Conclusion:

  $3^5=243$