The exponent is the number or value to which a variable or number is raised. The exponent usually written as am. Here ‘a’ is the base value and ‘m’ is the exponent. The exponent can be a positive, negative or equal to zero. The exponent tell the number or times the base number needs to be multiplied.
If m is a positive number: am = a x a x a x a…..a (m times).
If m is equal to zero: a0 = 1. (Any value to the power zero is equal to 1.)
Example 1: Evaluate the value of the expression: (0.3)4?
Solution: Here the exponent expression given is (0.3)4.
The base number is 0.3 and the power to which the number is raised is 4.
The base number needs to ne multiplied 4 times.
This gives (0.3)4 = 0.3 x 0.3 x 0.3 x 0.3
Here there is a decimal number in 0.3 so multiplying four times has the final answer will consist of four decimal number.
Therefore, 0.3 x 0.3 x 0.3 x 0.3 = 0.0027
Hence the answer is 0.0027.
Question: Multiple choice question (Pick the correct option.)
Evaluate the exponent expression 60?
a) 1/6 b) 1 c) 6 d) None of these.
Correct answer: option b.
Here the base number is 6 and the power to which the number is raised is 0.
The rule for any number with the power zero is: a0 = 1.
This further simplifies the exponent expression 60 = 1.