What is the product of #x^(-1/2) * x^(-2/7)#?

1 Answer
Dwight
Feb 20, 2017

The answer is #x^(-11/14)#

Explanation:

Whenever you multiply two powers that have the same base (the #x# in this case), you can write the result as a single power using an exponent that is the sum of the two exponents in the product.

#x^a*x^b = x^(a+b)#

in other words.

So, #x^(-1/2)*x^(-2/7) = x^((-1/2+(-2/7))#

Looking just at the exponents:

#(-1/2) + (-2/7) = (-7/14) + (-4/14) = -11/14#

So, the final answer is #x^(-11/14)#

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