Question

Sea el monomio M(x,y)= 3a ^b-1 x ^3a+b y ^4a-b, hallar su coeficiente se G.R(x)=10 y G.R(y)= 4

Answer 1

M(x,y)= 3a^(b - 1) x^(3a + b) y ^(4a - b)
GR(x) = 10
GR(y) = 4

GR(x) = 10
3a + b = 10

GR(y) = 4
4a - b = 4
4a + 4 = b

3a + b = 10
3a + 4a + 4 = 10
7a = 6
a = 6/7

4a + 4 = b
4(6/7) + 4 = b
24/7 + 4 = b
(24 + 28)/7 = b
52/7 = b

Coef = 3a^(b - 1)
3(6/7)^(52/7 - 1)
3(6/7)^(45/7)
3(7√6^45)/7√7^45)
3(6^45/7^45)