Question

Simplify the expression $\frac{(4^x+2^{2x})}{\left(2^x\right)}$

• A. $6$
• B. $2+2^x$
• C. $2\times 2^x$
• D. $2^{x+1}$

Answer 1

Answer: (D)

$2^{x+1}$

The value of $\frac{(4^x+2^{2x})}{\left(2^x\right)}$

$=\frac{(2^{2x}+2^{2x})}{2^x}$

$=\frac{2\times 2^{2x}}{2^x}$

$=\frac{2^{2x+1}}{2^x}$

$=2^{2x+1-x}$

$=2^{x+1}$