Question

If m^n=32 where M and n are natural numbers then find the value of n^m

Answer 1

m^n = 32

32 = 2 × 2 × 2 × 2 × 2

= 2^5

so m = 2

n = 5

n^m = 5^2

= 5 × 5

= 25

Answer 2

m^n=32
i.e m^n = 2^5
so m = 2 and n = 5
hence,
n^m = 5^2 = 25