Answer:
n = 8
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
note that 4 = 2² , thus
[tex](2^{2}) ^{4}[/tex] = [tex]2^{n}[/tex] , that is
[tex]2^{8}[/tex] = [tex]2^{n}[/tex]
Since bases on both sides are equal, equate the exponents
n = 8
