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(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​

User HubertNNN
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1 Answer

1 vote

Answer:

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

User Kamilo
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