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

Answer 1

Julia Adams

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

#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#

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Answer 2

Julia Adams

To simplify (2^3 \times 2^2), you add the exponents since the bases are the same:

(2^3 \times 2^2 = 2^{3+2} = 2^5)

So, (2^3 \times 2^2 = 32).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.