Question

(ar^b)³ = 125r²⁴

where a and b are positive integers
work out a and b

I dont really care about the answer I just want the working out and the reason why​

Answer 1

a=5 b=8

Explanation:

`{(a {r}^(b) )}^(3) = 125 {r}^(24)`

`{(a {r}^(b) )}^(3) = {5}^(3) {r}^(24)`

{125 = 5×5×5 = 5³}

`{(a {r}^(b) )}^(3) = {(5 {r}^(8)) }^(3)`

{Taking 3 power outside to get 5r⁸}

{Then match the positive integer with a and b}

Therefore,

a= 5

b= 8