Chapter 8.7, Problem 33E

To determine

To simplify:

The given expression.

Answer to Problem 33E

The simplified form of our given expression would be $10n^{11}$ .

Explanation of Solution

Given:

An expression: $2n^7\cdot 5n^4$ .

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:

  $\begin{array}{l}2n^7\cdot 5n^4\\ \Rightarrow 2\cdot 5n^7\cdot n^4\\ \Rightarrow 10n^{7+4}\\ \Rightarrow 10n^{11}\end{array}$

Therefore, the simplified form of our given expression would be $10n^{11}$ .