Learn how to simplify an expression raised to fractional powers

Learn how to simplify an expression raised to fractional powers

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains the power product rule, which allows the distribution of an exponent across terms in a product. The instructor demonstrates how to apply this rule by raising each term to a given power, specifically the 1/2 power in this example. The process involves multiplying exponents when a power is raised to another power. The tutorial also covers rewriting expressions using radicals and simplifying negative exponents by writing them as reciprocals. The final expression is simplified to 5Y cubed over X to the 4th power.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the power product rule allow us to do?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you handle exponents when raising a power to another power?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of rewriting sqrt(25) and what does it equal?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express negative exponents in a positive form?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression derived from the given terms in the problem?

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