Question

if m and n are natural numbers m^n=8 then find the value of n^ m​

Answer 1

Answer:

2,3

Step-by-step explanation:

2^3=8

m=2 , n=3

m^n =2^3 =8.

Answer 2

SOLUTION

GIVEN

m and n are natural numbers such that

$\sf {m}^{n} = 8$

TO DETERMINE

$\sf {n}^{m}$

EVALUATION

Here it is given that m and n are natural numbers such that

$\sf {m}^{n} = 8$

$\sf \implies {m}^{n} = {2}^{3}$

Since m and n are natural numbers

So there is only one possibility

m = 2 , n = 3

Thus we have

$\sf {n}^{m}$

$\sf = {3}^{2}$

$\sf = 9$

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