Question

I realized that I was typing the problems incorrectly. So here is the correct problem,

27^-2/3
____________

27 ^-1/3

Answer 1

Thank you Maxine, I will get started on helping you with this right away.

Answer 2

You're welcome

Answer 3

27^-2/3
____________

27 ^-1/3

First with your given problem, you need to convert each negative exponent into a fraction. We will start with the denominator.

27 ^ -1/3 turns into: 1/(cube root of 27)

1/(cube root of 27) = 3

Your problem now currently looks like this:

27^-2/3
____________

1/3

Now let's do the same for the numerator.

27 ^ -2/3 turns into: 1 / 27 ^ (2/3)
27 ^ (2/3) = 3^2 = 9

Your problem now currently looks like this:

1/9
____________

1/3

We now have to divide the fractions, so we use the reciprocal of the denominator and then multiply.

Your problem is now

(1/9) x (3/1)

1/9 of 3 is 1/3.

Your final answer is 1/3.