SOLUTION: (20x^-4 over 27y^2)/(8x^-3 over15y^-5) A. 32y^3 / 81x B. 32 / 81xy^7 C 25y^3 / 18x D 25/ 18xy^7 everyone on the internet keeps saying its D but i don't know how you get it plz

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: (20x^-4 over 27y^2)/(8x^-3 over15y^-5) A. 32y^3 / 81x B. 32 / 81xy^7 C 25y^3 / 18x D 25/ 18xy^7 everyone on the internet keeps saying its D but i don't know how you get it plz      Log On


   

Question 891885: (20x^-4 over 27y^2)/(8x^-3 over15y^-5)
A. 32y^3 / 81x
B. 32 / 81xy^7
C 25y^3 / 18x
D 25/ 18xy^7
everyone on the internet keeps saying its D but i don't know how you get it plz help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll take a shot:
+%28+20x%5E%28-4%29+%2F+27y%5E2+%29+%2F+%28+8x%5E%28-3%29+%2F+15y%5E%28-5%29+%29+
I'll do the innermost division first
+%28+20x%5E%28-4%29+%2F+27y%5E2+%29+%2A+%28+15y%5E%28-5%29+%2F+8x%5E%28-3%29+%29+
+%28+20x%5E%28-4%29+%2A+15y%5E%28-5%29+%29+%2F+%28+8x%5E%28-3%29+%2A+27y%5E2+%29+
+%28+20x%5E%28-4%29+%2F+8x%5E%28-3%29+%29+%2A+%28+15y%5E%28-5%29+%2F+27y%5E2+%29+
Now I can convert minus exponents to plus
+%28+20x%5E3+%2F+8x%5E4+%29+%2A+%28+15+%2F+%2827y%5E5%2Ay%5E2%29+%29+
+%28+5%2F2+%29%2A%28+1%2Fx+%29+%2A+%28+15%2F27+%29%2A%28+1%2Fy%5E7+%29+
+%2825%2F18++%29%2A%28+1%2F%28+x%2Ay%5E7+%29%29+
+25+%2F+%28+18x%2Ay%5E7+%29+
I get (D) also