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

Nov 9, 2016

${2}^{2} \cdot {2}^{3} \implies {2}^{2 + 3} \implies {2}^{5}$

#### Explanation:

When mutliplying similar terms with exponents you add the exponents.

${2}^{2} \cdot {2}^{3} \implies {2}^{2 + 3} \implies {2}^{5}$

The displayable reason is:

${2}^{2} = 2 \cdot 2$

${2}^{3} = 2 \cdot 2 \cdot 2$

Therefore ${2}^{2} \cdot {2}^{3} \implies 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \implies {2}^{5}$

Nov 9, 2016

$32$

#### Explanation:

We can simplify by expressing each of the products in their numeric form.

${2}^{2} \times {2}^{3} = 4 \times 8 = 32$

OR by simplifying the product using $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{a}^{m} \times {a}^{n} = {a}^{m + n}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\Rightarrow {2}^{2} \times {2}^{3} = {2}^{2 + 3} = {2}^{5} = 32$