Exponents and Simplifying Expressions

Exponents and Simplifying Expressions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the power of quotients rule for exponents, demonstrating how to distribute an outside exponent to both the numerator and denominator of an expression. Through four examples, the video guides viewers in simplifying expressions, including those with fractions, using this rule. The tutorial emphasizes the importance of identifying the largest exponent and subtracting it from the smaller one to simplify the expression further. The video concludes with a reminder to practice the rule and apply it to various expressions.

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13 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main concept introduced in the video?

Using the power of quotients rule

Solving quadratic equations

Finding the greatest common divisor

Simplifying fractions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying the power of quotients rule?

Distributing the outside exponent

Dividing coefficients

Multiplying coefficients

Adding exponents

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the outside exponent that needs to be distributed?

8

5

3

2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify an expression with exponents in a fraction?

Add the exponents

Multiply the exponents

Subtract the exponents

Divide the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression in Example 1?

8 B^6 Z^9

64 B^9 Z^15

8 B^9 Z^15

64 B^6 Z^9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a helpful step before applying the power of quotients rule in Example 2?

Adding all exponents

Dividing all terms by 2

Simplifying the fraction ahead of time

Multiplying all terms

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 2, what happens to W when its exponents are subtracted?

It becomes W^0

It becomes W^2

It becomes W^1

It remains unchanged

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