How to evaluate a number raised to a negative rational exponent

How to evaluate a number raised to a negative rational exponent

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Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the problem of 81 raised to the negative 3/4 power. It begins by introducing the problem and discussing the rules for handling negative exponents. The teacher explains the exponent rule x to the m over n equals the n-th root of x to the m power. The video then demonstrates how to apply this rule to the given problem, addressing the confusion around negative exponents. Finally, the teacher simplifies the expression and finds the solution, offering an alternative method for simplification.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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