Question

(ar^b)³ = 125r²⁴

Answer 1

Answer:

a=5 b=8

Step-by-step 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