Writing the reciprocal of a fraction to write an expression with a positive power

Writing the reciprocal of a fraction to write an expression with a positive power

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify expressions with negative exponents using two methods: distributing the negative exponent across terms and using the reciprocal rule. The instructor demonstrates how to apply the power to quotient rule and emphasizes the importance of understanding reciprocals. By taking the reciprocal of a fraction and raising it to a positive power, students can simplify expressions effectively. The tutorial concludes by summarizing the different approaches to achieve the same solution.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first method suggested for simplifying an exponent with a negative power?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the power to quotient rule as discussed in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the reciprocal of a fraction represent in the context of negative exponents?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite A to the negative 5th and B to the negative 5th to simplify the expression?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the different ways to arrive at the same solution when simplifying exponents.

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