Question

How do you multiply and simplify `(- 3x ^ { 3} y ^ { 4} z ^ { 3} ) ^ { 3} ( 2y z ^ { 2} )`?

Answer 1

`(-3x^3y^4z^3)^3(2yz^2)=-54x^9y^13z^11`

Explanation:

As `(a^m)^n=a^((mxxn))` and `a^mxxa^n=a^((m+n))`

`(-3x^3y^4z^3)^3(2yz^2)`

= `((-3)^3x^(3xx3)y^(4xx3)z^(3xx3))(2yz^2`

= `(-27x^9y^12z^9)xx(2yz^2)`

= `(-27)xx2xxx^9y^(12+1)z^(9+2)`

= `-54x^9y^13z^11`