Indices

Mathematics SSS 1 First Term

WEEK 4

Indices

Performance Objectives

Students should be able to;

1. Study laws of indices
2. Solve problems related to laws of indices
3. Study indical equations and solve exercises

Laws of Indices

Content

The laws governing the mathematical operations involving index numbers are written below. These laws are true for all values of m, n and x ≠ 0.

(1) a^x × a^y = a^x+y

(2) a^x ÷ a^y = a^x−y

(3) a^−x= 1/a^x

(4) a⁰ = 1

(5) (a^x)^y = a^xy

(6) a1n = na

(7) axy = yax 

Example 1:

Simplify …