Zero Exponents

Zero Exponents

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains why any nonzero base raised to the power of 0 equals 1, using a pattern-based proof. It demonstrates this with examples, showing how reducing exponents leads to division by the base, ultimately resulting in 1. The video also clarifies why 0 to the power of 0 is undefined, as division by zero is not possible. The lesson concludes with practice problems to reinforce the concept.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why any nonzero base raised to the exponent of 0 equals 1.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the pattern observed when increasing the exponent of a base number.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does dividing by 2 relate to the concept of exponents when working backwards?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Provide an example of a nonzero base raised to the exponent of 0 and explain the result.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens when 0 is raised to the power of 0, and why is it considered undefined?

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