Zero Power Rule
In Zero Power Rule, if any base is raised to power zero, then the result will be 1. This can be represented as x0 = 1. Zero Power rule can be understood from the following description
Suppose we have to prove x0 = 1.
x0 = xn-n , where (0 = n-n)
From the Quotient of Power Rule, we know that if the base are same then we subtract the exponents while finding the quotient; the vice versa of Quotient of Power Rule also holds true.
⇒ xn-n = xn/xn = 1
Hence, x0 = 1.
Let’s consider an example for better understanding of the law.
Example: (1001)0 =?
As per Zero Power Rule, any number raised to power zero results the value 1.
(1001)0 = 1
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