# How do you simplify a^2 times a?

Mar 28, 2017

${a}^{3}$

#### Explanation:

The laws for solving exponents needs to be known.

When you are multplying and the bases are the same, you add the exponents. When dividing, you subtract.

$\Rightarrow {x}^{5} \cdot {x}^{3} = {x}^{5 + 3} = {x}^{8}$

$\Rightarrow {x}^{5} / {x}^{3} = {x}^{5 - 3} = {x}^{2}$

$\Rightarrow {a}^{2} \cdot a$
$\Rightarrow {a}^{2} \cdot {a}^{1}$
$\Rightarrow {a}^{2 + 1}$
$\Rightarrow {a}^{3}$