Learn how to simplify a number with a rational exponent ex 3, 16^(3/2)

Learn how to simplify a number with a rational exponent ex 3, 16^(3/2)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate numbers raised to rational exponents. It begins by introducing the concept and then explores two methods: rewriting the expression as a radical and using exponent properties to simplify the expression. The tutorial demonstrates the process with an example, showing how to rewrite 16 as 4 squared and then apply exponent properties to find the final answer of 64. The video concludes by summarizing the steps involved in evaluating rational exponents.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in evaluating a rational exponent according to the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the number 16 be rewritten to simplify the evaluation of the rational exponent?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What properties of exponents are used when rewriting the expression involving 16?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer obtained after evaluating 16 raised to the rational exponent?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of evaluating a number raised to a rational exponent as described in the text.

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