## What is the expression for f(x), when we rewrite \(3^{5x+3} \cdot 27^{x}\), as \(3^{f(x)}\) ?

## https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:exp/x2ec2f6f830c9fb89:equivalent-exp/e/rewrite-exponential-expressions

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## I need help with this problem, and I watched the video before it but it was confusing for me. Could somebody explain the question or help me solve it?

## Thank you,

## \(tommarvoloriddle\)

EDIT:

Ok, I forgot to include what I tried and what I am stuck on:

\(3^{3^{5x+3} \cdot 27^{x}}\)

Then I simplified a bit:

\(\)\(3^{3^{8x+3}}\)

and now, I have no idea what to do.

It would be great if you could help from there!