SOLUTION: Determine the LCD of the following terms: 54x^5 y^7 z^3, 72x^3 y^5 z^2, 32x^4 y^3 z^9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine the LCD of the following terms: 54x^5 y^7 z^3, 72x^3 y^5 z^2, 32x^4 y^3 z^9      Log On


   

Question 36592: Determine the LCD of the following terms:
54x^5 y^7 z^3, 72x^3 y^5 z^2, 32x^4 y^3 z^9
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the LCD of the following terms:
54x%5E5+%2Ay%5E7%2A+z%5E3 ++72x%5E3%2A+y%5E5%2A+z%5E2 +32x%5E4%2A+y%5E3%2A+z%5E9

54=9%2A6=3%2A3%2A3%2A2=2%2A3%5E3
72=9%2A8=3%5E2%2A2%5E3
32=2%5E5

Take each factor raised to the highest power. This gives you the LCD.
Notice that the highest power of 2 is 5 , the highest power of 3 is 3 , the highest power of x is 5 , the highest power of y is 7,and the highest power of z is 9.

Therefore, the LCD = +2+%5E+5+%2A+3+%5E+3+%2A+x+%5E+5+%2A+y+%5E7+%2A+z+%5E+9+
LCD = +32+%2A+27+%2A+x+%5E+5+%2A+y+%5E7+%2A+z+%5E+9+
LCD = +864%2A+x+%5E+5+%2A+y+%5E7+%2A+z+%5E+9+

Caylyne fourth grade grand daughter of the great R^2 at SCC