Question

By which of the following number $2^{-2}$ be multiplied so that the result after multiplication will be $2^4$?

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

Answer 1

The correct option is C $2^6$

Let the number is $p$
Hence,
$p\times 2^{-2}=2^4$
Multiplying both sides by $2^2$, we get
$p\times 2^{-2}\times 2^2=2^4\times 2^2$
$p\times 2^{-2+2}=2^{4+2}$
$p\times 2^0=2^6$
$p=2^6$
So, the answer is $2^6$, i.e., $2^6\times 2^{-2}=2^{6+(-2)}=2^{6-2}=2^4$.