Simplify an expression by using the power to product rule with rational exponents

Simplify an expression by using the power to product rule with rational exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify expressions using exponent rules, focusing on the power to product rule and the power rule. It demonstrates applying these rules to expressions, converting them into radical form, and simplifying them further. The tutorial concludes with finding the final simplified expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the power to product rule allow you to do with a product raised to a power?

Distribute the power to each term in the product

Subtract the exponents of the terms in the product

Multiply the exponents of the terms in the product

Add the exponents of the terms in the product

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying the power rule, what operation is performed on the exponents?

Division

Addition

Subtraction

Multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you rewrite a fractional exponent as a radical expression?

By using the fraction as the root of the base

By adding the fraction to the base

By multiplying the fraction with the base

By subtracting the fraction from the base

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the fifth root of -32?

4

-2

-4

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method can be used to simplify radical expressions?

Product rule

Quotient rule

Factor tree

Power rule