Chapter 8.9, Problem 40E

To determine

To write:

The given product using an exponent.

Answer to Problem 40E

Our given product as an exponent would be $x^7$ .

Explanation of Solution

Given:

A product:

  $x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x$

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 x is being multiplied to itself 7 times. To write our given product as an exponent, we will raise x to7^th power as:

  $\begin{array}{l}x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\\ \Rightarrow x^7\end{array}$

Therefore, our given product as an exponent would be $x^7$ .