# Math Help - Missing a rule for simplification

1. ## Missing a rule for simplification

I just attached an image of the question because I was having trouble showing exponents in text.

2. Hello, schoolboydj!

$4^{2x^2+2x} \;=\;\boxed{(2^2)^{2x^2+2x} \;=\;2^{(2)(2x^2+2x)}} \;=\;2^{4x^2+4x}$

It's from this rule: . $(x^a)^b \:=\:x^{ab}$

3. In the boxed (red) line, you forgot to write the 2 before the x^2.

Otherwise, everything in your solution is fine.

4. Thank you.