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

2 Answers
smendyka
Nov 9, 2016

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

Jim G.
Nov 9, 2016

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

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