If 3A ^ 3B ^ 2x and 1 / 3A ^ 3B ^ 4 (x-1 / 2) are similar, then the value of (- x) ^ 2013 * x ^ 2013 is____

If 3A ^ 3B ^ 2x and 1 / 3A ^ 3B ^ 4 (x-1 / 2) are similar, then the value of (- x) ^ 2013 * x ^ 2013 is____

3A ^ 3B ^ 2x is similar to 1 / 3A ^ 3B ^ 4 (x-1 / 2)
The index of a is 3,
The exponents of B in the two terms need to be equal,
Then 2x = 4 (x-1 / 2)
∴2x=4x-2
∴2x=2,x=1
∴（-x)^2013*x^2013
=(-1)^2013*1^2013
=-1*1
=-1

If the m-th power of - 2x & sup2; × y and the n-th power of 1 / 4x - 1 × Y & sup3; are of the same kind, then the product of the two monomials is_______

It's the same kind
So n-1 = 2, M = 3
n=3
So product = (- 2x & # 178; Y & # 179;) × (1 / 4x & # 178; Y & # 179;) = - 1 / 2x ^ 4Y ^ 6

If the monomial 2A ^ 2x + 4 and 4A ^ 4 are of the same kind, then the value of X is

2x+4=4
x=0