Question

(5 * (4/5) ^ 2 * (3/5))/3

I’m looking for a step by step explanation for the answer in fraction form?

Answer 1


`(16)/(25)`

Explanation:

`(5*((4)/(5))^(2)*(3)/(5) )/(3)`

=
`((5)/(1) *(16)/(25)*(3)/(5) )/(3)`

=
`((5*16*3)/(1*25*5) )/(3)`

=
`((240)/(125) )/(3)`

=
`((48)/(25) )/(3)`

=
`(48)/(25) /(3)/(1)`

=
`(48)/(25) *(1)/(3)`

=
`(48*1)/(25*3)`

=
`(48)/(75)`

=
`(16)/(25)`