FORM 2 UNIT 1
Form 2 Unit 1 Lesson 1: Numbers (Revision)
6 Quizzes
Unit 1 Lesson 1: Exercise 1
Unit 1 lesson 1: Exercise 2
Unit 1 Lesson 1: Exercise 3
Unit 1 Lesson 1: Exercise 4
Unit 1 Lesson 1: Exercise 5
Unit 1 Lesson 1: Exercise 6
Form 2 Unit 1 Lesson 2- Index Notations
3 Quizzes
Unit 1 Lesson 2: Exercise 1
Unit 1 Lesson 2: Exercise 2
Unit 1 Lesson 2: Exercise 3
Form 2 Unit 1 Lesson 3 - First and Second laws of Indices
2 Quizzes
Unit 1 Lesson 3: Exercise 1
Unit 1 Lesson 3: Exercise 2
Form 2 Unit 1 Lesson 4: - Third and Fourth Laws of Indices
1 Quiz
Unit 1 Lesson 4: Exercise 1
Form 2 Unit 1 Lesson 5: The Calculator
3 Quizzes
Unit 1 Lesson: 5 Exercise 1
Unit 1 Lesson:5 Exercise 2
Unit 1 Lesson 5: Exercise 3
Form 2 Unit 1 Lesson 6: Solving Problems using the calculator
3 Quizzes
Unit 1 Lesson: 6 Exercise 1
Unit 1 Lesson:6 Exercise 2
Unit 1 Lesson:6 Exercise 3
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Form 2 Unit 1 Lesson 3 – First and Second laws of Indices
FORM 2 UNIT 1
Form 2 Unit 1 Lesson 3 – First and Second laws of Indices
Objective
At the end of the lesson, students should be able to:
Use the first and second index laws or laws of indices.
First law of indices:
When multiplying numbers in the index form, if the bases are the same, the powers are
added.
Second law of indices:
When dividing numbers in index form, if the bases are the same, the powers are
subtracted.
Example 1
Write the expanded form of the following then simplify:
a. 3
^{3}
× 3
^{4}
b. 2
^{2}
×2
^{2}
×3
^{2}
Solution
a. 3
^{3}
× 3
^{4}
=3×3×3×3×3×3×3
the base is 3 and the power is 7
3
^{3}
× 3
^{4}
= 3
^{7}
b.
2
^{2}
×
2
^{2}
×
3
^{2}
=
2
×
2
×
2
×
2
×
3
×
3
t
he bases are two
2
and
3
.
2
is repeated
4
times and
3
repeated
2
times =
2
^{4}
×
3
^{2}
2
^{2}
×2
^{2}
×3
^{2}
=2
^{4}
×3
^{2}
Example 2
Simplify
Solution
Write the expanded form of the following then simplify
Example 3
Using the first and second laws of indices, simplify the following and compare answers to solution 1 and solution 2.
a. 3
^{3}
×3
^{4}
b.2
^{2}
×2
^{2}
×3
^{2}
c.2
^{7}
/2
^{3}
Solution
Lesson Content
Unit 1 Lesson 3: Exercise 1
Unit 1 Lesson 3: Exercise 2
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