What is the m power of 3 multiplied by the n power of 3 equal to 1, and what is m + n

What is the m power of 3 multiplied by the n power of 3 equal to 1, and what is m + n

When multiplied by the power of the base, the base remains unchanged and the exponent is added
So 3 ^ m * 3 ^ n = 3 ^ (M + n) = 1 = 3 ^ 0
So m + n = 0

How much is (m-n) (m-n) quadratic times (n-m) cubic times (n-m) quartic

Original formula = (m-n) (m-n) ² [-(m-n) ³] (m-n)^4
=-(m-n)^(1+2+3+4)
=-(m-n)^10

The M + n power of x times the M-N power of x = the 8th power of X, then M is equal to?

2m power of x = 8th power of X, so m = 4

What is the P power of (m power of a multiplied by n power of a)?

 

How to prove that I * power + 1 of E is equal to 0

The proof of the equation E ^ (I * PI) = cos (PI) + I * sin (PI) is very complex, but it is often used
=-1+0
=-1
There is no need to say more later

F (x) = xlnx proves that when b > 0, the B power of B is greater than or equal to the 1 / E power of 1 / E

Let g (x) = e ^ (f (x)) = x ^ X
X = e when f (x) derivative 1-lnx = 0
That is, f (x) > F (E) = e x > 0
So x ^ x > e ^ (f (x)) = e ^ e (x > 0)