Learn to evaluate an expression with a negative rational exponent ex 5, (cuberoot(8))^-1

Learn to evaluate an expression with a negative rational exponent ex 5, (cuberoot(8))^-1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate expressions using rational exponents. It begins by introducing the concept of rewriting cube roots as rational exponents. The tutorial then demonstrates how to apply properties of exponents to simplify expressions, including handling negative exponents by using reciprocals. The process of evaluating expressions with rational exponents is illustrated, showing how to rewrite bases and calculate the result. The tutorial concludes with a summary of the steps involved in simplifying expressions using rational exponents.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite the cube root of 8 using rational exponents?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to rewrite a negative exponent as a positive exponent?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate 8 to the one third power?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What base can you use to rewrite the number 8 in terms of exponents?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result of simplifying 8 to the one third power?

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