INDICES

INTRODUCTION

Records are a helpful method for all the more basically communicating substantial numbers. They additionally give us a numerous valuable properties for controlling them utilizing what are know as the Law of Indices.

DEFINITION

The records of a number says how often to utilize the number in a duplication and it is composed as a little number to one side or more the base number.

WHAT ARE INDICES?

The expression 25 is defined as follows:

35 = 3 x 3 x 3 x 3 x 3

we call "3" the base and "5" the index.

LAW OF INDICES

To control expression, we can consider utilizing the Law of Indices. These laws just apply to expressions with the same base, for instance, 34 and 32 can be controlled utilizing the Law of Indices, yet we can't utilize the Law of Indices to control the expressions 35 and 57 as their base contrasts (their bases are 3 and 5, individually.

RULE 1:

To multiply expressions with the same base, copy the base and add the indices.

An example:

simplify 4 x 43 (note: 4 = 41)

41 x 43 = 41+ 3
           = 44
           = 4 x 4 x 4 x 4
                = 256

RULE 2:

To divide expressions with the same base, copy the base and subtract the indices.

An example:

Simplify:  5(y9 / y5):

                 5(y9 / y5) = 5 (y9-5)

                                  = 5y4

REFERENCES

(http://mathematics.laerd.com/maths/indices-intro.php)
(https://www.youtube.com/watch?v=LrvKAMgcipo)