Question

How do you simplify `(\frac { 11} { 12} ) ^ { 3}`?

Answer 1

See explanation below for the way to simplify this problem:

Explanation:

First, note:

`color(red)((a/b)^x = a^x/b^x)`

Apply this to this problem gives:

`(11/12)^3 = 11^3/12^3`

Now, we can expand and then multiply the terms in the numerator and the terms in the denominator:

`11^3/12^3 = (11 xx 11 xx 11)/(12 xx 12 xx 12) = (121 xx 11)/(144 xx 12) = 1331/1728`