2 - 2 Laws of Exponents The laws of exponents are listed below: - - PDF document

Exponents and Radicals

روذـجلا و سـسلؤا 2 -1 Exponents

سـُسُلؤا

• If a is any real number and n is a positive integer, then

the nth power of a is:

a n = a × a × a × … × a

• The number a is called the base.
• The number n is called the exponent.
• The number n is also called the power or the index.
• Examples:

43 35

2

n factors = 64 = 243 = 4 × 4 × 4 = 3 × 3 × 3 × 3 × 3

an

base exponent

SET 1 - Chapter 2 GFP - Sohar University

2 - 2 Laws of Exponents

نيناوق سـُسُلؤا The laws of exponents are listed below:

3 SET 1 - Chapter 2 GFP - Sohar University

Example 1:

4

Solution:

SET 1 - Chapter 2 GFP - Sohar University

Example 2:

5

Solution:

Example 3:

Solution:

SET 1 - Chapter 2 GFP - Sohar University

Example 4:

6

Solution:

Example 5:

Solution:

SET 1 - Chapter 2 GFP - Sohar University

Example 6:

7

Solution:

SET 1 - Chapter 2 GFP - Sohar University

2 - 3 Laws of Radicals

نيناوق روذجلا The laws of radicals are listed below:

8 SET 1 - Chapter 2 GFP - Sohar University

Example 7:

9

Solution:

SET 1 - Chapter 2 GFP - Sohar University 10

Example 8:

Solution:

SET 1 - Chapter 2 GFP - Sohar University

11

Example 8:

Solution:

SET 1 - Chapter 2 GFP - Sohar University