How do you multiply (- x ^ { 3} y ^ { 3} z ) ^ { 3} ( 3x ^ { 4} y )?

1 Answer
Jun 27, 2018

color(purple)(=> - 3 x^(13) y^(10) z^3

Explanation:

(-x^3y^3z)^3 * (3x^4y)

According to laws of induces,

x^m * x^n = x^(m+n); (x^m)^n = x^(man)

:. => -x^9 y^9 z^3 * 3 x^4 y

=> -3 x^9 x^4 y^9 y z^3

color(purple)( => - 3 x^(13) y^(10) z^3