What is the rule called when you distribute and exponent to the numerator and denominator of a fraction? (a/b) squared = a squared / b squared.

Thanks for any help. I know it isn't the quotient rule.. but I think this rule does have a specific name.

7 answers

You are just multiplying fractions
(a/b)^2 = (a/b)(a/b) = (a*a ) / (b*b) = a^2 / b^2
I know.. but I am looking for the name for that rule that basically says squaring the fraction (multiplying times itself) is the same as squaring each part. I am distributing the exponent to the numerator and to the denominator.

Maybe there isn't a name.. but I thought that there might be. Thanks.
Well I do not know it and Google does not know it :)
I don't know it either. Maybe it doesn't have a name. It does relate to a power to a power... multiply the two powers. If you think of the exponents as being 1. Then there are fractions involved. I am doing a proof and this is one step in the proof and I wanted the exact name. Thanks for helping. I bet there is no name.
I just found a very reliable source and it says... "power rule for quotients". Hopefully, that is right. Thanks again.
That sounds just fine :)
Thanks
Similar Questions
    1. answers icon 1 answer
  1. Simplify x8x4(1 point) Responses Because the numerator has an exponent of 8 and the denominator has an exponent of 4, when you
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. Simplify x^8 / x^4A. Because there are 8 factors of x in the numerator and 4 factors of x in the denominator, when the x's
    1. answers icon 1 answer
more similar questions