Chapter 8.7, Problem 32E

To determine

To simplify:

The given expression.

Answer to Problem 32E

The simplified form of our given expression would be $x^8$ .

Explanation of Solution

Given:

An expression: $x^3\cdot x^5$ .

Calculation:

We will use exponent properties to solve our given exponential number. Using exponent property $a^m\cdot a^n=a^{m+n}$ , we will get:

  $\begin{array}{l}{x}^3\cdot x^5\\ \Rightarrow x^{3+5}\\ \Rightarrow x^8\end{array}$

Therefore, the simplified form of our given expression would be $x^8$ .