Question

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

Answer 1

`(343x^10z^9y^2)`

Explanation:

In order o solve `(-3(x^2)z))^3 * (3(x^3)y(z^4))^2`
we can use the power rules and add the exponents to the individual term then combine like terms.
in this case
-3 will become -27.
`x^2` will become `x^4`
and so on.
so broken apart it will be
`(-27x^5z^3)*(9x^5y^2z^6)`
Then multiplied out
`(343x^10z^9y^2)`

Note: beware of polynomials that are squared `(x-2)^2` Does not equal `x^2+4` it equals `(x-2)*(x-2) or (x^2-4x+4)`