Question

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

• A. $1$
• B. $10$
• C. $121$
• D. $1000$

Answer 1

The correct option is D $1000$

$m^n=121$

$m^n=(11{)}^2$

$\therefore m=11$

$n=2$

$\therefore (m-1{)}^{n+1}=(11-1{)}^{2+1}$

$=(10{)}^3$

$=1000$.