Question

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

Answer 1

`2^2 * 2^3 => 2^(2+3) => 2^5`

Explanation:

When mutliplying similar terms with exponents you add the exponents.

`2^2 * 2^3 => 2^(2+3) => 2^5`

The displayable reason is:

`2^2 = 2*2`

`2^3 = 2*2*2`

Therefore `2^2 * 2^3 => 2*2*2*2*2 => 2^5`

Answer 2

`32`

Explanation:

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

`2^2xx2^3=4xx8=32`

OR by simplifying the product using `color(blue)"law of exponents"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^mxxa^n=a^(m+n))color(white)(2/2)|)))`

`rArr2^2xx2^3=2^(2+3)=2^5=32`