Learn how to simplify an expression raised to a negative

Learn how to simplify an expression raised to a negative

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

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The video tutorial explains the power to product rule, which allows distributing a power across terms separated by multiplication. It highlights the limitation of this rule when terms are separated by addition or subtraction. The tutorial demonstrates applying the rule and addresses handling negative powers by converting them to reciprocals. The session concludes with a final solution using these concepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What rule allows you to distribute a power to each term when they are separated by multiplication?

Power to Sum Rule

Power to Product Rule

Power to Quotient Rule

Power to Difference Rule

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't you distribute a power when terms are separated by addition?

Because it changes the base of the terms

Because it only works with subtraction

Because addition is not a valid operation

Because it violates the power to product rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a negative power into a positive one?

By multiplying the base by zero

By subtracting the exponent from the base

By taking the reciprocal of the base

By adding the base to itself

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when an exponent is raised to another power?

You divide the exponents

You multiply the exponents

You subtract the exponents

You add the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the power to product rule to M^-1 * G^3?

1/M * 1/G^3

M^3 * G^-1

M^-1 * G^-3

M^1 * G^3