Grade 9B Index Laws

Grade 9A Index Laws

​Lesson Objectives

• Write numbers in index notation.

• Evaluate index expressions.

• state and use the quotient/multiplication index law to simplify indices.​

​The end

​Index Notation

Click on the link below to watch this video about index notation.

take some notes as you have a quick quiz about index notation.​

​https://youtu.be/MG_Cxv8R-EU

Try this quiz out​

Objective; express number and evaluate index notation.​

Multiple Choice

What is $$3^2$$   in expanded form?

• 3 x 2

• 3 + 2

• 3 x 3

Multiple Choice

What is 6⁷in expanded form?

• 6 x 6 x 6 x 6 x 6 x 6

• 6 + 6 + 6 + 6 + 6 + 6

• 6 x 7

Multiple Choice

Solve 5³

• 8

• 15

• 75

• 125

Multiple Choice

b×b×b×b in index form is equal to

• 4b

• b⁴

• b³

• 2b²

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7  ?

• 7⁵

• 7⁶

• 6⁷

• 7⁷

Multiple Choice

Which is equivalent to 2⁴?

• 8

• 20

• 16

• 12

Multiple Choice

A scientist reports that a bacteria culture contains 3⁴ bacteria. How many bacteria is that?

• 12

• 81

• 7

• 95

​Exploring the Product/Multiplication index Law

Express the following Manipulations in index notation to determine the product/multiplication index law.

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Which option shows the correct index form

​Summary of the product/multiplication index law

​Watch the video in the link about the summary of the product/multiplication index law.

​https://youtu.be/DSdYYZR2nBM

​Product Law practice

​Try out the questions in the quiz using the product law of indices.

Multiple Choice

3² x 3⁵

• 3⁶
• 3⁷
• 3⁸
• 3¹⁰

Multiple Choice

Simplify: 3⁵ x 3⁷

• 3¹²

• 9¹²

• 3³⁵

• 9³⁵

Multiple Choice

What is the correct law for multiplication? a^m x aⁿ =

• a^m+n

• a^m + aⁿ

• a^mxn

• a^mn

Multiple Choice

Simplify: b¹⁷ x b⁵

• b²²
• b⁸⁵
• (b²)²²
• b¹²