Question

3^2•3^n simplifies to 3^20 what is the value of the exponent n?

Answer 1

Given that:
$3^2 \times 3^n = 3^20$
Solving for n.
Divide both sides by 3²
$\frac{3^2 \times 3^n}{3^2} = \frac{3^{20}}{3^2}$
Simplify
$3^n= 3^{20-2} \\ 3^n=3^{18}$
$if \ a^{f(x)}=a^{g(x)} , \ then \ f(x)=g(x)$
So, n=18

Answer: n=18