What+is+the+meaning+of+a+negative+exponent?Set3

A negative exponent means the exponent is in the "incorrect" place. To fix this problem, you must move it either from the numerator to the denominator or from the denominator to the numerator. As you move it to the correct spot, the troublesome negative exponent then becomes a positive exponent.

So, for example, x^-3 = 1/x^3 and 1/x^-4 = x^4

Is this always the case? Even if the negative exponent is part of a binomial?

yes no matter what if the binomial has the negative exponent bring the binomial to the numerator or denominator and multiply it out

(x+8)-²=1/x²+16x+64 -Austin Klein

What about something like this: