Simplifying a rational expression using rational exponents

Simplifying a rational expression using rational exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a mathematical problem by converting expressions to rational exponents and simplifying them. It covers the rules for multiplying and dividing exponents, emphasizing the importance of having the same base for operations. The tutorial also demonstrates how to convert different bases to a common base and perform final simplifications to reach the solution.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you convert 27 to a rational exponent?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to simplify the expression 27^(1/4) / 3^(1/2)?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the rule A^M * A^N = A^(M+N) and how it applies to different bases.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rewrite 27 as a power of 3?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of adding the exponents 3/4 and 1/2?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer when simplifying 3^(5/4) - 3^(4/4)?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of subtracting exponents when dividing powers.

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