Exponents are also called as powers or index. In an expression of the form , a is called as base and b is called as an exponent. Exponent can either be positive, negative or zero. Multiplication of same base having different
exponents results in the addition of exponents. x = .
When a variable is raised to and powers then, = .
Example 1: Simplify the expression (a) (7x - ) (b)
(7x - )
Applying the distributive property,
Step 1: Multiply with 7x and with
(7x) - (
(7x) - (
Applying the formula x =
In this question, there is no need of multiplying the two expressions and . Because when it is raised to the power 0, always the result is 1.
Example 2: Find the value of the expression .
Writing 256 in powers of 2.
256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 =
Now replace 256 with
. = .
Here the bases are same so we will add the exponents.
= 2 x 2 x 2 x 2 = 16
Hence the value of the expression is 16.