Question

Select the following expression(s) which is(are) equal to $16\times 2^4.$

• A. $2^4\times 2^4$
• B. $2^8$
• C. $512$
• D. $256$

Answer 1

Answer: (A), (B), (D)

$256$

$\underset{–}{\text{Need to simplify:}}16\times 2^4$

Here, $16$ can be written as $2\times 2\times 2\times 2=2^{1+1+1+1}=2^4$

$\therefore$ $16\times 2^4=\underset{–}{2^4\times 2^4}=2^{(4+4)}=\underset{–}{2^8}=\underset{–}{256}$

Therefore, in the given options, $2^4\times 2^4,2^8,$ and $256$ are equal to $16\times 2^4$.