# Math Help - Simplifying Algebraic Expressions

1. ## Simplifying Algebraic Expressions

Hey All,

Problem: $a^{3(7-x)}a^x$

I'm not sure what to do with the $a^{3(7-x)}$.

It looks like I could use the distributive law which would make $a^{21-3x}$ but I'm not sure if that applies to exponents.

Thanks,

2. $\displaystyle a^{3(7-x)}a^x = a^{3(7-x) + x}$.

Now expand and collect like terms in the power...

3. Wow I can't believe its that simple and how I missed that Thanks!

so just to verify if you could $a^{3(7-x)}a^x = a^{3(7-x)+x} = a^{(21-3x)+x} = a^{21-2x}$

4. Yes, that is correct.