Question

If (8^7)^2 = 2^y, what number is y? please answer asap!

Answer 1

y = 42

Explanation:

Given,

`{( {8}^(7) )}^(2) = {2}^(y)`

`= > {8}^(7 * 2) = {2}^(y)`

`= > {8}^(14) = {2}^(y)`

Since,

`8 =2 * 2 * 2 = {2}^(3)`

Hence,

`= > {( {2}^(3) )}^(14) = {2}^(y)`

`= > {2}^(3 * 14) = {2}^(y)`

`= > {2}^(42) = {2}^(y)`

Since,

The bases are same so the exponents will also be same

Therefore,

=> y = 42 (Ans)