Power of a Power Rule
In Power of a Power Rule, if a number raised to some power is again raised to some power then the two powers will be multiplied. It is represented as (xm)n = xm×n
Example: (23)2=?
Solution:
(23)2=?
Multiply the exponents together in equations like the one above while keeping the base constant.
23×2 = 26
However, we have to keep in mind that ((2^3)^2 ~\neq~2^{3^2} as (23)2 = 26 but 2^{3^2} = 2^9 as only exponent 3 is again raised to exponent 2 and not the whole number including base.
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