SOLUTION: I need to Simplify. I have only done half of it 2^x * 4^x-1= (2^2)^x-1 2^2x-2

Algebra ->  Exponents -> SOLUTION: I need to Simplify. I have only done half of it 2^x * 4^x-1= (2^2)^x-1 2^2x-2      Log On


   

Question 772069: I need to Simplify. I have only done half of it
2^x * 4^x-1=
(2^2)^x-1
2^2x-2
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
You can use the product rule of exponent: x^n * x^m = x^(n + n)
2^x * 4^(x - 1)
= 2^x * 2^2(x - 1)
= 2^x * 2^(2x - 2)
= 2^(x + 2x - 2)
= 2^(3x - 2)
Hope it helps you!
John10 (john100185@yahoo.com)