Exponents Lesson Slides: 4 Slides (Grade 7)

4 Slides • 13 Questions

1

Indices or Exponents

Recall the definition for index or exponents.
Identify and use an index of a number.
Differentiate between expressions such as $x^2$ and $2x$

Differentiate between

x^{a\ }

+

x^b

and

x^{a\ }

x

x^b

.
Establish and use the rule

x^a

x

x^b

=

x^{a+b}

Establish and use the rule

x^a

\div

x^b

=

x^{a-b}

2

Multiple Choice

2x and x² are these terms the same?

1

Yes

2

No

3

Multiple Select

What does 2x mean?

1

$x\times x$

2

$x+x$

3

$x^2$

4

$2\times x$

4

X^a+ x^b

What does x^a+ x^b means ?
Let us use x²+ x³ as an example
Recall that only like terms may be added or subtracted. Since both terms have different exponents this algebraic expression cannot be simplified any further.

5

Multiple Choice

Write the following in expanded form.
10³

1

10+10+10

2

10x10x10

3

3x10

4

1,000

6

Multiple Choice

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

1

7⁷

2

7⁸

3

8⁷

4

7⁹

7

Multiple Choice

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

1

4⁵

2

5⁴

3

4⁶

4

4⁶

8

$x^a\times x^b$

Let us use $x^{2\ }\times x^3$ as our example
then we have $x\times x\times x\times x\times x$
Count the number of times x is used in the multiplication as a factor.
Express in exponent or index form is $x^5$
We conclude that: $x^2\times x^3=x^{2+3\ }=x^5$ . This is the rule for multiplication

9

Multiple Choice

Simplify the expression:
c⁴⋅c³=

1

^c12

2

c⁴⁺³

3

c⁷

10

Multiple Choice

In order to multiply powers with the same base, we add their exponents.

1

True

2

False

11

Multiple Choice

Simplify the expression: 3x²⋅x²=

1

3x

2

3x²⁺²

3

3x⁴

12

Multiple Choice

Simplify the expression x⁵x⁷

1

x³⁵

2

x¹²

3

x²

4

x^-2

13

Multiple Choice

Simplify (-7y²)(5y⁴)

1

-35y⁶

2

-2y⁶

3

-35y⁸

4

-2y⁸

14

Two lies and a truth.

For the following slides identify the statement that is true.

15

Multiple Select

Identify the true statement.

1

2 x 2 x 2 = 6

2

2 x 2 x 2 = 8

3

2 x2 x 2 =10

16

Multiple Select

Identify the statement that is true

1

3² means 3 x 3

2

3² means 3 + 3

3

3²means 6

17

Multiple Select

Identify the statement which is true.

1

(-3)²= 6

2

(-3) ² = -9

3

( -3) ² = 9

Indices or Exponents

Recall the definition for index or exponents.
Identify and use an index of a number.
Differentiate between expressions such as $x^2$ and $2x$

Differentiate between

x^{a\ }

+

x^b

and

x^{a\ }

x

x^b

.
Establish and use the rule

x^a

x

x^b

=

x^{a+b}

Establish and use the rule

x^a

\div

x^b

=

x^{a-b}

Show answer

Auto Play

Slide 1 / 17

SLIDE

Similar Resources on Wayground

11 questions

Simplified and Equivalent Expressions

Presentation

•

7th Grade

11 questions

Multiplying and Dividing Fractions

Presentation

•

7th Grade

12 questions

Making Predictions using Theoretical/Experimental Probability

Presentation

•

7th Grade

10 questions

7.7A Solving Two-Step Inequalities

Presentation

•

7th Grade

11 questions

Area of Composite Figures

Presentation

•

7th Grade

13 questions

Volume of Rectangular Prisms

Presentation

•

7th Grade

11 questions

Using Properties of Math with Expressions

Presentation

•

7th Grade

13 questions

Distributive Property and Factoring

Presentation

•

7th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

16 questions

Proportional and Non Proportional Relationships in Tables, Graphs, and Equations

Quiz

•

7th Grade

20 questions

Constant of Proportionality

Quiz

•

7th Grade

20 questions

Halloween Trivia

Quiz

•

7th Grade

15 questions

One-Step Equations

Quiz

•

7th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

16 questions

Adding and Subtracting Integers

Quiz

•

7th Grade

20 questions

Two-Step Equations Review

Quiz

•

7th Grade

20 questions

Model Algebraic expressions with tiles

Quiz

•

7th Grade