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