exponents into radical 2...?

Question

(a^4/7) (b^ - 4/7)= ?

The letter a, has an exponent of 4/7
The letter b, has an exponent of - 4/7

I got 1 as the answer.

Answer 1

no, 1 is not the answer.

a negative exponent means (one divided by)

that is, x^(-1) = 1/x

So this is a^(4/7) / b^ (4/7)

Using rule of exponents, we can make this:

(a/b)^(4/7). and that's the most simplfied

Answer 2

(a^4/7) (b^ - 4/7)
= (a^4/7)/(b^4/7)
That's as far as you can go. It does not = 1 unless a = b.