Quotient of Powers Rule
In Quotient of Powers Rule, if two numbers with the same bases and different exponents are divided then the exponents of the base are subtracted to find the quotient. It is represented as xa÷xb = x(a-b)
Example: 45 ÷ 43 =?
Solution:
45 ÷ 43 =?
Because both bases in this equation are four, they remain the same. Then subtract the divisor from the dividend using the exponents.
45 ÷ 43 = 45-3 = 42
Finally, if necessary, simplify the equation.
42 = 4 × 4 = 16
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
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