Laws of Indices Given by Ms Sheema For

Laws of Indices Given by Ms Sheema For Class 8

Laws of Indices Multiplying with Indices e. g. 1 e. g. 2 Generalizing this, we get:

Laws of Indices Multiplying with Indices If m and n are not integers, a must be positive e. g. 3

Laws of Indices Dividing with Indices e. g. Generalizing this, we get: Cancel

Laws of Indices Powers of Powers e. g. by rule (1)

Laws of Indices Exercises Without using a calculator, use the laws of indices to express each of the following as an integer 1. 2. 3.

Laws of Indices A Special Case e. g. Simplify Using rule (3) Also,

Laws of Indices A Special Case e. g. Simplify Using rule (2) Also, So, Generalizing this, we get:

Laws of Indices Another Special Case e. g. Simplify Using rule (3) Also,

Laws of Indices Another Special Case e. g. Simplify Using rule (3) Also, So,

Laws of Indices Another Special Case Generalizing this, we get: e. g. 1 e. g. 2

Laws of Indices Rational Numbers A rational number is one that can be written as where p and q are integers and e. g. and are rational numbers are not rational numbers

Laws of Indices Rational Numbers The definition of a rational index is that e. g. 1 e. g. 2 e. g. 3 p is the power q is the root

Laws of Indices SUMMARY The following are the laws of indices:

Laws of Indices Exercises Without using a calculator, use the laws of indices to express each of the following as an integer 1. 2. 3.

Laws of Indices Exercises Without using a calculator, use the laws of indices to express each of the following as an integer or fraction 4. 5. 6.

Laws of Indices

Laws of Indices The following slides contain repeats of information on earlier slides, shown without colour, so that they can be printed and photocopied. For most purposes the slides can be printed as “Handouts” with up to 6 slides per sheet.

Laws of Indices SUMMARY The following are the laws of indices:

Laws of Indices Examples 1. 2. 3.

Laws of Indices 4. 5. 6.

Laws of Indices Thank you