Exponent Rules
What are Exponents in Maths?
Exponent refers to the power raised on a number which basically means the number is multiplied by itself to the number of times equal to the power.
What is the Product of Powers Rule?
Product of Power rule states that when two numbers with the same base are raised to different then the product of the number will have the power equal to the sum of the powers of both numbers. It is given as xm × xn = x(m+n)
What is Power of Power Rule?
Power of Power rule states that when a number is raised to some power and the whole number including the first power is again raised to some power, then the two powers are multiplied.
What is Zero Exponent Rule?
Zero Exponent Rule states that if any number is raised to power 0 then it will result 1. It is given as X0 = 1.
What is the Value of 00?
The value of 00 is not defined in mathematics.
What are 8 Laws of Exponents?
The 8 Laws of Exponents are,
- Product Law: am × an = am+n
- Quotient Law: am/an = am-n
- Zero Exponent Law: a0 = 1
- Identity Exponent Law: a1 = a
- Power of a Power: (am)n = amn
- Power of a Product: (ab)m = ambm
- Power of a Quotient: (a/b)m = am/bm
- Negative Exponents Law: a-m = 1/am
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