Question

How do you simplify `(- 6n ^ { 3} ) ( 9n ^ { 11} )`?

Answer 1

`-54n^14`

Explanation:

`(-6n^3)(9n^11)=(-1)(6)(n^3)(9)(n^11)`

We can now simplify.

There is only the one `-1` and so that will stand alone:

`(-1)`

We can multiply the 6 and 9 together to get 54:

`(-1)(54)`

And we can use the rule `x^axxx^b=x^(a+b)` to combine the `n` terms to get `n^14`:

`(-1)(54)(n^14)`

And now let's pull off the brackets to get:

`-54n^14`