Question

Explain the relationship between -1 power and the original fraction.?

Select several fractions between 0 and 1. find the value of each fraction after it is raised to the -1 power.

Answer 1

$$
\left (\cfrac{1}{x}\right )^{-1}=\cfrac{1^{-1}}{x^{-1}}=\cfrac{x^1}{1^1}=\cfrac{x}{1}=x
$$
So,
$$
\left (\cfrac{1}{x}\right )^{-1}
$$
Brings the numerator to the denominator and the denominator to the numerator. That is, it "inverts" the faction -- turns it upside down, so-to-speak.

Answer 2

For example,
$$
\left (\cfrac{1}{2} \right )^{-1}=2
$$