How do you use laws of exponents to simplify #x^(3a) * x^(4a)#?

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How do you use laws of exponents to simplify #x^(3a) * x^(4a)#?

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Answer 1 · 2015-08-04T22:03:36

You get: #x^(7a)#

Explanation:

The law of exponents you need states that:
#x^a*x^b=x^(a+b)#
so if you have the same base, in a multiplication, you can add the exponents.
In your case:
#x^(3a)*x^(4a)=x^(3a+4a)=x^(7a)#

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How do you use laws of exponents to simplify #x^(3a) * x^(4a)#?

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