simplify 3^x*9^x

Sorry 'bout the garish color! A finger fumble on my tablet brought on that, and then

I just couldn't get the red background to cancel. Fortunately, they were at least different shades!

(3^x)*(9*x)

=(3^x)*((3^2)^x)

=(3^x)*(3^2x)

=3^(x+2x)

=3^(3x)

3^x * 9^x

= 3^x * (3^2)^x

= 3^x * 3^(2x)

= 3^(x+2x)

= 3^(3x)

= 3^3^x

= 27^x

Let's do an easy check. Does 3^5 * 9^5 = 27^5 on your calculator?  yes

good job, Badinage!!! :D

btw. my eyes are still blind after looking at the highlighted question at the bottom LOL

no prob. LOL