Question

Simplify. Assume that no denominator is 0 and that 0^0 is not considered.
(4/3x)^3

Answer 1

\[(\frac{a}{b})^c = \frac{a^c}{b^c}\] does that help?

Answer 2

no i am totally confused with this can you please show me the steps so i can follow for others

Answer 3

it just means if you have (4/3x)^3 then just cube the numerator and cube the denominator \[\large \frac{4^3}{(3x)^3}\] now can you do it?

Answer 4

so then all i do is divide then ^ ?

Answer 5

no...you cube

Answer 6

4^3 = 4 x 4 x 4

(3x)^3 = 3x * 3x * 3x

Answer 7

thats the answer ? i messed it, now i can see what it means

Answer 8

you have to simplify it further

Answer 9

what is 4 x 4 x 4?

Answer 10

64

Answer 11

and what is 3x * 3x * 3x?

Answer 12

27

Answer 13

you forgot x* x* x

Answer 14

27 is just 3 x 3 x 3

Answer 15

x^3

Answer 16

therefore final answer is 64/27x^3

Answer 17

oh my i understand it I feel stupid, it is so easy to understand. thank you

Answer 18

no probs ^_^