How do you simplify # (x^-4y^-6z^-10 )/( a^1b^2c^-4)^2 * (a^1b c^-4) /( x^6y z^9)^2#?
As always, "count apples as apples and oranges as oranges".
In this case everything are really just multiplications and divisions.
If I see this, I would just open up the parentheses and see what can be removed. The remaining terms have to be the answer.
So let's attack this.
Then, I would rewrite
Open the parentheses. Remember the rule:
Then it's easy, x goes with x, y goes with y, etc...
Remember the rule
So we have:
or rewriting it in fractional form (putting all the negative exponents at the bottom):