In , b is called as base and x is called as an exponent. If x is negative then they are called as negative exponents. That is,
= b x b x ……… x b
If the exponent is negative then division is used instead of multiplication. Suppose we have then it is written as = =
Example 1: Write the following expression using only positive exponents.
The given expression is .
Here -3 is the power or exponent for both and
=
Now apply the formula =
=
Now we got positive exponent 15 for x. But for y there is a negative exponent.
=
= = .
Hence the given expression with positive exponents is .
Example 2: Find the values of the following expressions
+ (b) x
+
Write into positive exponents. =
Write into positive exponents. =
+ = + =
x
Write in positive exponents. =
Replacing with
x = = 1