Question

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

Answer 1

Answer:

y = 42

Step-by-step explanation:

Given,

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

$= > {8}^{7 \times 2} = {2}^{y}$

$= > {8}^{14} = {2}^{y}$

Since,

$8 =2 \times 2 \times 2 = {2}^{3}$

Hence,

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

$= > {2}^{3 \times 14} = {2}^{y}$

$= > {2}^{42} = {2}^{y}$

Since,

The bases are same so the exponents will also be same

Therefore,

=> y = 42 (Ans)