Step-by-step explanation:
[tex] { ({y}^{2} )}^{4} . \: {( {y}^{3}) }^{2} [/tex]
Since,
[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]
Hence,
[tex] {y}^{2 \times 4} . {y}^{3 \times 2} [/tex]
[tex] = {y}^{8} . {y}^{6} [/tex]
Since,
[tex] {a}^{x} . {a}^{y} = {a}^{x + y} [/tex]
Hence,
[tex] = {y}^{8 + 6} [/tex]
[tex] = {y}^{14} (ans)[/tex]
