Another algebra question....?

Question

ok....i can't figure this out

what is (3/4)^-3

so that is 3 over 4 to the negative 3rd power

i've been working on this forever and can't come up with one solid answer.

Answer 1

3/4 ^-3= 4/3 ^1/3 which is the 3rd root of  4/3 to the 1st power which is equaled to 64/27

Answer 2

the minus meaans we flip the fraction = do the reciprocal

(4/3)^ 3

now distribute the 3rd power to the numerator and denominator

4^3/ 3^3

64/27

there u go

Answer 3

It changes to (4/3)^3 = 64/27

Answer 4

negative exponents flip the fraction

so, (3/4)^-3 is the same as (4/3)^3

once you have positive exponents you can just cube each number.

The answer is therefore 64/27

Answer 5

(4/3)^3 = 64/27

I'm sure you'll understand now!