Question

Which of the following numbers can be multiplied by
$2^{-2}$ so that the result will be $2^4$?

• A. $2^6$
• B. $2^8$
• C. $2^2$
• D. $2^4$

Answer 1

The correct option is A $2^6$

Let the number to be multiplied by $2^{-2}\text{be}p.$
$\Rightarrow p\times 2^{-2}=2^4$

Multiplying both sides by $2^2$, we get,
$p\times 2^{-2}\times 2^2=2^4\times 2^2$
$\Rightarrow p\times 2^{-2+2}=2^{4+2}$
$\Rightarrow p\times 2^0=2^6$
$\Rightarrow p=2^6(2^0=1)$