lol1650
contestada

(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​

Respuesta :

Answer:

a=5 b=8

Step-by-step explanation:

[tex] {(a {r}^{b} )}^{3} = 125 {r}^{24} [/tex]

[tex] {(a {r}^{b} )}^{3} = {5}^{3} {r}^{24} [/tex]

{125 = 5×5×5 = 5³}

[tex]{(a {r}^{b} )}^{3} = {(5 {r}^{8}) }^{3} [/tex]

{Taking 3 power outside to get 5r⁸}

{Then match the positive integer with a and b}

Therefore,

a= 5

b= 8