How to apply power to product rule to simplify an expression with exponents

How to apply power to product rule to simplify an expression with exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the power product rule to simplify expressions involving exponents. It begins with an introduction to the rule, followed by a detailed explanation. The tutorial then demonstrates the application of the rule to simplify a specific expression, emphasizing the importance of using parentheses to ensure correct operations. Finally, it concludes with the final steps to achieve the simplified expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the power of product rule state?

A * B raised to X equals A to the X times B to the X

A * B raised to X equals A to the X divided by B to the X

A * B raised to X equals A to the X plus B to the X

A * B raised to X equals A to the X minus B to the X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use parentheses when applying the power of product rule?

To simplify the expression further

To ensure the correct order of operations

To make the expression look neat

To avoid using exponents

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be done first according to the order of operations?

Use parentheses

Multiply

Add

Subtract

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of squaring negative four in the expression?

8

-16

-8

16

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression using the power of product rule?

16y squared

4y squared

-16y squared

-4y squared