If, n m are two positive real numbers and m is greater than n Which will be - Maths - Natural Numbers Whole Numbers

Question

If, n & m are two positive real numbers and m is greater than n
Which will be greater, n​​^m or m^n Explain your answer

Lovina Kansal · Accepted Answer

Dear student
Let us consider  examples to prove thisGiven m>nSo, let m=4 and n=3Then 43=64 and 34=81So, nm>mnSimilarly, let m=6 and n=3Then, 63=216 and 36=729So, nm>mnSo, you can take randomly any value and check for this
But this case is not valid for m=3 and n=2
Regards

If, n & m are two positive real numbers and m is greater than n. Which will be greater, n​​^m or m^n. Explain your answer.

If, n & m are two positive real numbers and m is greater than n. Which will be greater, n^m or m^n. Explain your answer.