Question

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

Answer 1

`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`