How do you simplify 2^3 * 2^2?

Dec 24, 2016

${2}^{3} \cdot {2}^{2} =$(222) * (2*2) = 8 * 4 = 32

or

${2}^{3} \cdot {2}^{2} = {2}^{3 + 2} = {2}^{5} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32$

Explanation:

There are a couple of ways to solve this problem.

First,

${2}^{3} \cdot {2}^{2} =$(222) * (2*2) = 8 * 4 = 32

Second, we can use the following rule of exponents:

$\textcolor{red}{{a}^{x} \cdot {a}^{y} = {a}^{x + y}}$

${2}^{3} \cdot {2}^{2} = {2}^{3 + 2} = {2}^{5} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32$