Step-by-step explanation:
Given that ab = x
then b = [tex]\frac{x}{a}[/tex] ... (1)
To evaluate the expression, [tex]a^{b}[/tex] + 2 ... (2)
Substitute eq (1) in eq (2), we get
= [tex]a^{\frac{x}{a} }[/tex] + 2
= [tex]a^{(x) (\frac{1}{a}) }[/tex] + 2
= [tex]\sqrt[a]{a^{x} }[/tex] + 2
After evaluating, the expression becomes [tex]\sqrt[a]{a^{x} }[/tex] + 2