Answer:
the functions f(x) and g(x) are equivalent
Step-by-step explanation:
Your full question is attached below
The equations of your problem are
f(x) = √(16^x)
f(x) = √(4^(2x))
f(x) = √(4^(2x)) = √(4^x.4^x)
f(x) = 4^(x)
and
g(x) = ∛64^x
g(x) = ∛4^(3x)
g(x) = ∛4^(3x) = ∛4^(x) .4^(x) .4^(x)
g(x) = 4^(x)
Thus, the functions f(x) and g(x) are equivalent
