What is Exponents?
When a number is repeatedly multiplied by itself, it is represented by an exponent in mathematics. An exponent indicates the number of times a base number is multiplied by itself. It is represented by a tiny figure, known as the exponent, that is placed above the base.
Example: 3^4= 3*3*3*3= 81
So, in this example we can see that the number 3 is the Base, and the number 4 is the Exponent.
Note: You need to know what your integer rules are.
Exponents have several important properties that help simplify calculations and expressions involving powers. Here are the properties of exponents:
Product Rule
Quotient Rule
Power of a Power Rule
Power of a Product Rule
Power of a Quotient Rule
Zero Exponent
Negative Exponent
Reflection
Understanding these laws of exponents is essential because they allow us to simplify, solve, and manipulate expressions involving exponential terms. Developing skill in these principles improves mathematical fluency and facilitates the solution of challenging algebraic and mathematical problems. Each rule has a distinct function, and when combined, they provide a complete toolkit for effectively handling exponential expressions in a number of mathematical and scientific topics.