If I were to multiply 3x to the 5th power by 8, would I get 24x to the 5th power or 3x to the 5th power times 8?
When you say "3x to the 5th power" do you mean (3x)^5 or do you mean 3(x^5)?
If it is the first case, you would get 8·(3x)^5 = 8(3x)(3X)(3X)(3X)(3X) = 1944X^5.
If it is the second case, you would get 8·3(x^5) = 24x^5.