How do you simplify $2^{2} \cdot 2^{3}$ $2^2*2^3$ ?

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How do you simplify $2^{2} \cdot 2^{3}$ $2^2*2^3$ ?

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Answer 1 · 2016-11-09T13:34:04

$2^{2} \cdot 2^{3} \Rightarrow 2^{2 + 3} \Rightarrow 2^{5}$ $2^2 * 2^3 => 2^(2+3) => 2^5$

Explanation:

When mutliplying similar terms with exponents you add the exponents.

$2^{2} \cdot 2^{3} \Rightarrow 2^{2 + 3} \Rightarrow 2^{5}$ $2^2 * 2^3 => 2^(2+3) => 2^5$

The displayable reason is:

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

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

Therefore $2^{2} \cdot 2^{3} \Rightarrow 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \Rightarrow 2^{5}$ $2^2 * 2^3 => 2*2*2*2*2 => 2^5$

Answer 2 · 2016-11-09T13:41:08

$32$ $32$

Explanation:

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

$2^{2} \times 2^{3} = 4 \times 8 = 32$ $2^2xx2^3=4xx8=32$

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

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

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

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How do you simplify $2^{2} \cdot 2^{3}$ $2^2*2^3$ ?

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