Answer:
y = 42
Step-by-step explanation:
Given,
[tex] {( {8}^{7} )}^{2} = {2}^{y} [/tex]
[tex] = > {8}^{7 \times 2} = {2}^{y} [/tex]
[tex] = > {8}^{14} = {2}^{y} [/tex]
Since,
[tex]8 =2 \times 2 \times 2 = {2}^{3} [/tex]
Hence,
[tex] = > {( {2}^{3} )}^{14} = {2}^{y} [/tex]
[tex] = > {2}^{3 \times 14} = {2}^{y} [/tex]
[tex] = > {2}^{42} = {2}^{y} [/tex]
Since,
The bases are same so the exponents will also be same
Therefore,
=> y = 42 (Ans)
