Exponents And Powers

Q1

What are powers and exponents?

Power is an expression that represents the repeated multiplication of value or integer. In general, aⁿ is a power where a is the base and n is the exponent.
For example, 6³ is the power which shows that 6 is multiplied by itself three times.

Q2

Are Powers and exponents the same?

If N is an integer and is raised to another integer, say ‘a’, then the whole expression, N^a, is the power and a is the exponent.

Q3

What are the examples of exponents?

The examples of exponents are:
2 x 2x 2 =2³ (2 raised to 3rd power)
5x5x5x5 = 5⁴ (5 raised to 4th power)
9x9x9x9x9 = 9⁵ (9 raised to 5th power)

Q4

What are the rules of exponents?

The rules of exponents are:
a⁰ = 1
a^m aⁿ = a^m+n
a^m/aⁿ = a^m-n
(a^m)ⁿ = a^mn

Q5

What are negative exponents?

A negative exponent is used when 1 is divided by repeated multiplication of a factor. Say, 1/n is given by n^-1, where -1 is the exponent. If a number is raised to negative exponents then it represents the reciprocal of it. For example, 3 raised to -2 is represented by 3^-2, which is equal to 1/3².

Q6

What do we get if the exponent is 1 or 0?

If the exponent of a base number is one, then the value of the base remains unchanged. For example, 9¹ = 9
If the exponent is 0, then we get 1 as the final result. For example, 9⁰ = 1