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

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Answer 1 · 2017-05-25T05:08:29

$2^8=256$

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!

How do you evaluate the expression 2^5*2^32^5*2^3 using the properties?