Solve an exponential equation when your base is a fraction

Solve an exponential equation when your base is a fraction

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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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.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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