Solve an exponential equation when your base is a fraction

The video tutorial explains how to solve mathematical problems involving fractions and logarithms. The instructor emphasizes the importance of avoiding fractions by rewriting them in simpler forms. A specific example is given where 1/2 to the power of X is rewritten as 2 to the negative X. The one-to-one property is used to solve equations by matching bases. The key takeaway is to avoid fractions and remember the rule that X to the negative first equals 1/X.

What is the result of applying the one-to-one property in the context of the problem discussed?

What rule related to negative exponents does the teacher emphasize for memorization?