Exponents Definition
When a number is raised to some power then the power on the base number is called Exponent. Exponent simply means a base number is multiplied by itself equal to the power mentioned on it.
For Example, if we say Pn this means P is multiplied by itself ‘n’ several times. It can be expanded as P×P×P×P×P×P . . . n times.
Let’s say, 53 = 5 × 5 × 5 = 125; the equation is read as “five to the power of three.”
If the exponent is 2 then it is also known as “squared,” whereas if the exponent is 3 it is known as “cubed.” When calculating the area, the term ‘squared’ is used because we multiply the length (m/cm) two times and in the case of volume the term ‘cubed’ is used as we multiply the length (unit = m/cm) three times.
Exponent helps us to write very large as well as very small quantities. For instance, we can write large quantities such as the Mass of the Earth which is 5.97219×1024 kg as well as very small quantities such as the Mass of the Electron which is 9.1×10-31 kg.
Read in Detail: Exponents: Definition, Formulas, Laws, and Examples
Laws of Exponents
Laws of Exponents: Exponents are a way of representing very large or very small numbers. Exponent rules are the laws of the exponents that are used to solve various exponents’ problems. The multiplication, division, and other operations on exponents can be achieved using these laws of exponents. There are different rules of exponents also called laws of exponents in Mathematics and all these laws are added in the article below.
In this article, we will learn about Exponents Definition, Laws of Exponents, Laws of Exponents Examples, and others in detail.
Table of Content
- Exponents Definition
- What are Exponent Rules?
- What are Laws of Exponents?
- Product of Powers Rule
- Quotient of Powers Rule
- Power of a Power Rule
- Power of a Product Rule
- Power of a Quotient Rule
- Zero Power Rule
- Negative Exponent Rule
- Fractional Exponent Rule (Laws of Exponents with Fractions)
- Other Rules of Exponents
- Laws of Exponents and Logarithms
- Table: Laws of Exponents
- Exponent Rules Examples