Chapter 7.3, Problem 2P

Simplify each expression.

${\left(m^4\right)}^{10}$

To determine

To simplify: the following expression ${\left(m^4\right)}^{10}$ .

Answer to Problem 2P

  $m^{40}$

Explanation of Solution

Given information:

Consider the expression ${\left(m^4\right)}^{10}$

Calculations:

Use multiplication property of exponents which is ${\left(x^a\right)}^b=x^{ab}$ .

  $\begin{array}{c}{\left(m^4\right)}^{10}=m^{4\times 10}\\ =m^{40}\end{array}$