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#