How do you simplify #2^5/2^3 times 2^8#?

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Answer 1 · 2016-06-02T01:48:47

Use the following exponent rules:

•Quotient rule: #a^n/a^m = a^(n - m)#
•Product rule: #a^n xx a^m = a^(n + m)#

Let's calculate the #2^5/2^3# first.

Applying the quotient rule we get:

#2^5/2^3 = 2^(5 - 3) = 2^2#

Now, we must calculate #2^2 xx 2^8#

By the product rule:

#2^2 xx 2^8 = 2^(2 + 8) = 2^10#

Now, knowing our final result, we calculate #2^10# which gives 1024.

Hopefully this helps!