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

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Answer 1 · 2016-12-24T15:22:08

$2^3 * 2^2 =$ (222) * (2*2) = 8 * 4 = 32#

or

$2^3 * 2^2 = 2^(3+2) = 2^5 = 2*2*2*2*2 = 32$

There are a couple of ways to solve this problem.

First,

$2^3 * 2^2 =$ (222) * (2*2) = 8 * 4 = 32#

Second, we can use the following rule of exponents:

$color(red)(a^x * a^y = a^(x+y))$

$2^3 * 2^2 = 2^(3+2) = 2^5 = 2*2*2*2*2 = 32$

How do you simplify 2^3 * 2^22^3 * 2^2?