How do you simplify #(343 u^4 c^-5) /(7 u^6 c^-3)^-5#?
There is a negative exponent rule, I'm not quite sure if it has a name, but it says that a negative exponent in the numerator can be moved to the denominator and become positive, and vice versa.
An example would be
So using this
Then we can distribute the exponent,
Now we can move the
We can now combine like bases
Use the law of indices for negative indices:
It is better to keep the numbers in index form.
Add the indices of like bases: