orange1998 wrote:(3^2x)(9^x)= ?
Does it, or does it not, equal 27^3x
No, it doesn't. Try turning everything into powers on 3, and see what that does
orange1998 wrote:(a^2)^b (a^b)^2 = a^4b Correct?
If you mean (a^2)^b * (a^b)^2 = a^(2b) * a^(2b) = a^(2b + 2b) = a^(4b), then yes, this is correct.
orange1998 wrote:a^-4/b^-4 = (b/a)^-4 That's incorrect, right? Shouldn't it be (b/a)^4 a positive exponent, not a negative?
Mathematically, they're the same, but books and teachers always want "with positive exponents only", so (b/a)^4 is the "right" way.