Question

Which one of the following is equivalent to $(2^x{)}^2$?

• A. $2^{2x}$
• B. $2^{2+x}$
• C. $2^{2-x}$
• D. $4^{2x}$

Answer 1

The correct option is A

$2^{2x}$

$(2^x{)}^2=(2^x)\times (2^x)$

$\because a^m\times a^n=a^{(m+n)}$

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