Question

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

Answer 1

`-54x^5y^3z^11`

Explanation:

`color(blue)("Important facts about method")`

When multiplying or dividing; if the signs are the same the answer is positive. If they are not the same the answer is negative.

Using ? to represent some of the content of the given expression.

As we have `(-?_1)xx(+?_2)` it becomes `" "-(?_1xx?_2)`

So our answer will be negative.

Using an example: suppose we hade `(a^2)^3`

This is the same as `a^2xxa^2xxa^2= a^(2xx3)=a^6`

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`color(blue)("Answering the question")`

Write as: `" "-(color(white)(?/?)[3^3xx2]xx[x^3 xxx^2]xx[y^3]xx[z^9xxz^2]color(white)(?/?))`

`" "=-54x^5y^3z^11`