Question

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} )`?

Answer 1

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

Explanation:

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