Using multiple properties of exponents simplify the expression

Using multiple properties of exponents simplify the expression

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains the importance of working with positive exponents and demonstrates how to simplify expressions using properties of exponents. It covers the reciprocal method for negative exponents, the power to product rule, and the power of power rule. The tutorial concludes with a final simplification of an expression using division rules.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step to convert a rational expression with a negative exponent into one with a positive exponent?

Multiply by the base

Add the exponents

Take the reciprocal of the expression

Subtract the exponents

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the power to product rule, how is a power distributed in a product?

It is subtracted from each term

It is added to each term

It is divided among the terms

It is distributed to each term

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of exponents is used to simplify a product raised to a power?

Power of a power rule

Power to product rule

Negative exponent rule

Division of exponents rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the power of a power rule state?

Divide the exponents

Subtract the exponents

Multiply the exponents

Add the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the power of a power rule to an expression?

The exponents are added

The exponents are subtracted

The exponents are divided

The exponents are multiplied

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing exponents with the same base, what operation is performed on the exponents?

Multiply the exponents

Add the exponents

Divide the exponents

Subtract the exponents

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression discussed in the video?

Y to the 6th over 4X squared

Y to the 10th over 4X squared

Y to the 4th over 4X squared

Y to the 6th over 4X