If m and n are whole numbers such that `m^n = 121, ` then the value of `(m - 1)^(n + 1)` is : Options: A . &nbsp1 B . &nbsp10 C . &nbsp121 D . &nbsp1000

If m and n are whole n

Question

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

Options:

A . 1

B . 10

C . 121

D . 1000

Answer: Option D

We know that `11^2` = 121 , putting m = 11 and n = 2, we get :

`(m - 1)^(n + 1) = (11 - 1)^(2 + 1) = 10^3` = 1000.

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