A negative exponent is simply the reciprocal.A rational exponent of the form p/q is the qth root of the pth power.
So for example,
x^(-2/3) = 1/x^(2/3) = 1/cuberoot(x^2) or, equivalently, 1/[cuberoot(x)]^2
If the exponent is an even number you can drop the negative, because is you were to multiply it out the negatives would cancel out.
Rational numbers can be negative or positive.
You can use any number - rational or otherwise - as an exponent.
No, not all negative numbers are rational. There are many negative numbers that are irrational, just like the positive numbers.
It belongs to the set of negative rational numbers, negative real numbers, fractionall numbers, rational numbers, real numbers.
Negative numbers can be rational but not all negative have to be rational. It all depends if they can be put into a fraction.
You do nothing. They are already rational numbers.
Yes, negative decimal numbers are rational, as long as it is terminating or repeating.
You cannot simplify them. If they are negative they have to stay negative.
Yes - all numbers that can be written as ratios, even negative numbers, are rational numbers.
Exponents are negative numbers. This is used in math a lot.
Negative rational numbers are used in the same way that negative whole numbers are used: they are simply the additive inverses of their positive counterparts.