Hi,
Work:
Equation;
[tex]( {2}^{4} )^{2} = {2}^{n} [/tex]
Write an expression in the exponential form with a base of 2.
[tex] {2}^{8} = {2}^{n} [/tex]
Since bases are the same, set the exponents equal.
[tex]8 = n[/tex]
Switch the sides (RESULT)
[tex]n = 8[/tex]
Hope this helps.
r3t40