Final Cover - For Printing

LAWS OF INDICES

1. Exponential form
   The product of a number when repeated more than once can be expressed in the
   exponential form in which it is customary to write the number of times of repetitions
   as the power (or index or exponent). When the number is multiplied by the same
   number, the result is known as the square of that number and when the number is
   multiplied repeatedly thrice by itself, the result is the cube of the number.

For example, 5 ×^5 ×^5 ×^ 5 = 5^4

Here 5 is the base and the number of times it has been repeated, that is 4 is said to

be the exponent (or power or index).

The idea may be explained to the child through written Braille text.

2. Laws of indices

Law 1

The product of two or more numbers with the same base is equal to sum of the powers

with the same base.

That is, in mathematical terms, if ‘a’ is the base and ‘m’ and ‘n’ are the powers, then,

am × an = a m+n

Note that if the power is not mentioned then the power is 1.

Module 64