How do you simplify (3x^3y^4)(2x^2y^6)?

1 Answer
Mar 16, 2016

= 6 x^5 y^10

Explanation:

(3x^3y^4)(2x^2y^6)

= 3 * x^3 * y^4 * 2 * x^2 * y^6

= 3 * 2 * color(blue)( x^3 * x^2) * color(green)( y^4 * y^6

= 6 * color(blue)( x^3 * x^2) * color(green)( y^4 * y^6

As per property:
color(blue)(a^m * a^n = a^(m+n) , applying the above to exponents of x and y.

= 6 * color(blue)( x^(3 +2)) * color(green)( y^(4 +6)

= 6 * color(blue)( x^5 * color(green)( y^10

= 6 color(blue)( x^5 color(green)( y^10