If m and n are whole numbers and m^n = 841, what is the value of (m - 23)^(n+1) ?

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01 Jun 2017 Find the value

If m and n are whole numbers and m^n = 841, what is the value of (m - 23)^(n+1) ?

OPtion

1) 27
2) 8
3) 64
4) 216
5) 144
6) 196
7) 81
8) 128
9) 243
10) None of these

Solution

m^n = 841

We know that 29^2 = 841

Hence we can take m = 29 and n = 2
So (m - 23)^(n+1) = (29-23)^2+1 = 6^3 = 216

Correct Option: 4 Best Solution (7)