Question

Find the value of ${11}^8÷({11}^{10}÷{11}^{16})$

• A. ${11}^{14}$
• B. ${11}^{-4}$
• C. ${11}^2$
• D. $121$

Answer 1

The correct option is A ${11}^{14}$

${11}^8÷({11}^{10}÷{11}^{16})={11}^8÷\left({11}^{10-16}\right)$
$={11}^8÷{11}^{-6}$
$={11}^{8+6}$
$={11}^{14}$

So, option $A$ is correct.