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 Which of the following is equivalent to the expression (9x^2y^3) (12x^-3y^5) (2xy)

A: 23x^-5y8
B: 216y^9
C: -x^-6y^8

D: -216x^-7y^15

 

 A little math question I had for homework I couldn't solve. Any help?

 Apr 27, 2017
 #1
avatar+33614 
+1

(9x^2y^3) (12x^-3y^5) (2xy) → (9*12*2)*(x^2*x^-3*x)*(y^3*y^5*y) → 216*(x^[2-3+1])*(y^[3+5+1]) → 216*x^0*y^9 → 216*y^9

.

 Apr 27, 2017
 #2
avatar+118608 
+2

(9x^2y^3) (12x^-3y^5) (2xy)

 

\((9x^2y^3) (12x^{-3}y^5)(2xy)\\ =9x^2y^3* 12x^{-3}y^5*2xy\\ =9*12*2\;x^2 x^{-3}x^1y^3y^5y^1\\ =216\;x^{2+-3+1}y^{3+5+1}\\ =216\;x^{0}y^{9}\\ =216\;y^{9}\\ \)

 Apr 27, 2017
 #3
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Opuść nawiasy i zredukuj wyrazy podobne 

 

a) 3(a-5)+4(7+a)
b) 1,5(ab+2)-6(ab-1)
c) -(2x²-y+xy)+2(x²-3y-xy)
d) -3(0,5xy+2x)-5(-3xy-x)

 Apr 27, 2017

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