Chapter 8.9, Problem 38E

To determine

To write:

The given product using an exponent.

Answer to Problem 38E

Our given product as an exponent would be $8^5$ .

Explanation of Solution

Given:

A product:

  $8\cdot 8\cdot 8\cdot 8\cdot 8$

Concept used:

We know that an exponent is used to write repeated multiplication of number. For example,

  $a\cdot a\cdot a=a^3$ .

Calculation:

We can see from our given product that 8 is being multiplied to itself 5 times. To write our given product as an exponent, we will raise 8 to 5^th power as:

  $\begin{array}{l}8\cdot 8\cdot 8\cdot 8\cdot 8\\ \Rightarrow 8^5\end{array}$

Therefore, our given product as an exponent would be $8^5$ .