How do you evaluate the expression #2^5*2^3# using the properties?

1 Answer
TwOfSpades
May 25, 2017

#2^8=256#

Explanation:

When we multiply exponentials, we can add the exponents together if the base is the same. We can prove this by expanding the exponents.

Since #2^5# is #2*2*2*2*2# then we can expand both exponentials and see what we have.

So #2*2*2*2*2*2*2*2# is what we get after expanding both #2^5# and #2^3#. This is equal to #2^8# since it is eight twos multiplied by each other.

Using the property it looks more like this:

#2^5 * 2^3#
#2^(5+3)#
#2^8#

Hope this helps!

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