A product with the same number as a repeated factor is represented by a number raised to a power. The number is referred to as the base, and the power is represented by the exponent. The repeated factor (the number multiplied) is the base, and the exponent counts the number of factors. We’re dealing with products and multiplication when we see an exponent. In this article, we are going to discuss exponent rules as well as the meaning properties of exponents.
In the given expression bn, b is the base and n is the exponent. The expression given above means we use b as the factor as well as we have n factors of b. For example: 53 (This is read as five to the third power) and it means we have 3 factors of 5 or 5*5*5 which simplifies to 125. 53 is the exponent form, The Expanded form is 5*5*5, and 125 is the product form or simplified form.
History of Exponent & Exponent Rules
Muhammad Musa, a Persian mathematician, invented the square of numbers in the ninth century. Later, in 1544, the term exponent was coined. Exponents are the powers that are used to simplify repeated number multiplication and division. Exponent laws are made up of two parts: the base and the exponent. Exponents are used to represent the repeated multiplication of numbers.
The term “exponent” was coined in 1544, and the term “indices” was coined in 1696. The exponential notation matured in the 17th century, and mathematicians all over the world began to use it in problems.
Exponents have a wide range of applications, including population growth, chemical reactions, and a variety of other physics and biology fields. One recent example of an exponent is the trend discovered for the spread of the pandemic Novel Coronavirus (COVID-19), which shows exponential growth in the number of infected individuals.
Properties of Exponents
Few of the properties of exponents are as follows:
- Exponent Laws: In mathematics, exponents are defined as the powers that are commonly used in solving algebraic problems. According to the laws of exponents, the base is the variable that is repeatedly multiplied by itself.
- Exponents represent the number of times a number can be multiplied. 4 x 4 x 4, for example, can be represented as 43 , where 3 is the exponent and 4 is the base. For the exponents, various types of rules or laws have been defined.
Exponentiation laws are used to simplify problems in science and mathematics. Secondary school students learn the laws of exponents in order to solve mathematical problems quickly.
Exponent Rules
The exponent rules describe how to solve various equations containing exponents. There are, however, several types of exponent equations, which can be intimidating… at first. However, as with most math strategies, there are teaching strategies that can be used to help students understand exponent rules.
The result of power rule
When we multiply two bases of the same value that is the same number, keep the bases the same and then add the exponents together to get the solution.
Quotient Rule
Division and multiplication are diametrically opposed, and the quotient rule is the inverse of the product rule.
When dividing two bases of the same value, keep the base constant and then subtract the exponent values.
The Power Rule
This rule describes how to solve equations in which one power is multiplied by another.
These are the basic rules that are used in mathematics.
Addition of Exponents
Adding exponents is the same as adding numbers but in the form of exponents or powers. In other words, adding exponents is the same as adding base and exponents. An exponent, also known as the power of a number, indicates how many times the number has been multiplied by itself. In general, xn denotes that x has been multiplied by itself n times. To understand the concept of exponents and properties of exponents you can visit the Cuemath website.
