To solve the equation [tex]\(2^y = 2^6\)[/tex], we can use the property of exponents that states if the bases are the same, we can set the exponents equal to each other.
Given:
[tex]\[ 2^y = 2^6 \][/tex]
Since the base (2) is the same on both sides of the equation, the exponents must also be equal for the equation to hold true. Therefore, we equate the exponents:
[tex]\[ y = 6 \][/tex]
Therefore, the solution to the equation [tex]\(2^y = 2^6\)[/tex] is:
[tex]\[ y = 6 \][/tex]
