Question

If you have:
3^(x)*5^(x-2) - 3^(4x) = 0
Is this a valid factorization:

3^x(5^(x-2) - 3^(4)) = 0 ?

Answer 1

no

Answer 2

because when you multiply you add the exponents, not multiply them

Answer 3

\[3^x\times 5^{x-2}-3^{4x}\] you can factor out a
\[3^x\] but you get
\[3^x(5^{x-2}-3^{3x})\]

Answer 4

since
\[3^x\times 3^{3x}=3^{x+3x}=3^{4x}\]