Question

Find the value of $4^{10}+4^{10}+4^{10}+4^{11}.$

• A. $7\times 2^{20}$
• B. $6\times 2^{20}$
• C. $2^{23}$
• D. $2^{24}$

Answer 1

The correct option is A $7\times 2^{20}$

$4^{10}+4^{10}+4^{10}+4^{11}=4^{10}+4^{10}+4^{10}+4\times 4^{10}$

$=7\times 4^{10}$
$=7\times (2^2{)}^{10}$
$=7\times 2^{20}$