Question

If $m$ and $n$ are whole numbers such that $m^n=121$, the value of $(m-1{)}^{n+1}$ is :

• A. $1$
• B. $10$
• C. $100$
• D. $1000$

Answer 1

Answer: (D)

$1000$

Given, $m^n=121$

$\therefore m^n=121={11}^2$

$\Rightarrow m=11,n=2$

$\therefore (m-1{)}^{n+1}={10}^3=1000$