Question

simplify:
$2^{x} - 4 ^{(x-1)}$

Answer 1

simplified it is just 2 exponent x-4 exponent x-1 without the parenthesis. 

Answer 2

reemmeber
$(x^m)^n=x^{mn}$
and
$x^{m+n}= (x^m)(x^n)$

$2^x-4^{x-1}$
4=2²
$2^x-(2^2)^{x-1}$
$2^x-2^{(2)(x-1)}$
$2^x-2^{2x-2}$
$2^x-(2^{2x})(2^-2)$
$2^x-((2^x)^2)(2^-2)$
$2^x-(2^x)(2^x)(2^-2)$
(2^x)(1-2^{x-2})
not sure if what you were looking for