Question

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

Answer 1

Given that:

`3^2 * 3^n = 3^20`
Solving for n.
Divide both sides by 3²

`(3^2 * 3^n)/(3^2) = (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