How do you evaluate #(\frac { - 7} { 5} x ^ { 2} y ) \times ( \frac { 3} { 2} x y ^ { 2} ) \times ( \frac { - 6} { 5} x ^ { 3} y ^ { 3} )#?

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Answer 1 · 2017-12-07T15:04:13

#color(blue)(63/25*x^6*y^6)#

We have

#color(red)((-7/5*x^2*y)*(3/2*x*y^2)*(-6/5*x^3*y^3))#

The problem has just one term with three factors.

We will now group the like terms to simplify.

We are going to group the numeric values first, followed by the #x.terms#, followed by #y.terms#.

#rArr color(red)((-7/5*3/2*-6/5) (x^2*x^1*x^3)(y^1*y^2*y^3))#

We will be using the following formula

#color(green)(a^m*a^n = a^ (m+n))#

#rArr color(red)(126/50* (x^6)(y^6))#

#rArr color(blue)(63/25* (x^6)(y^6))# our final answer