Question

How do you simplify `(3/4) ^-2`?

Answer 1

This is a law of exponents
`(a/b)^(-m)=(b/a)^m`

Here
`a=3`
`b=4`
`-m=-2`
# ( 3 / 4 ) ^ (− 2)=(4/3)^2#

This is also a law of exponents
`(a/b)^m=(a^m)/(b^m)`

This gives
`(4^2)/(3^2)`
`16/9`
`1.77777777777777777777777777777....`