Simplify the expression.
15^-1 x^2 y^-3 z^-3/ 3^-2 x^-5 y^5

Question

Simplify the expression. 
15^-1 x^2 y^-3 z^-3/ 3^-2 x^-5 y^5

kjsaif · Answer

Well this is going to hurt my head

kalebj · Answer

-35x8y13z11

kalebj · Answer

Equation at the end of step  1  :

  (((3x•(y2))•(z4))2)•((0-((3x2•y3)•z))3)
 Step  2  :

Equation at the end of step  2  :

  ((3xy2 • (z4))2) •  -33x6y9z3
 Step  3  :

Multiplying exponential expressions :

 3.1    x2 multiplied by x6 = x(2 + 6) = x8

Multiplying exponential expressions :

 3.2    y4 multiplied by y9 = y(4 + 9) = y13

Multiplying exponential expressions :

 3.3    z8 multiplied by z3 = z(8 + 3) = z11

Multiplying exponents :

 3.4    32  multiplied by  33   = 3(2 + 3) = 35

Final result :

   -35x8y13z11

kjsaif · Answer

$$3y^2 / 5x^3z^3$$