Exponents are mathematical expressions that represent repeated multiplication. In other words, an exponent is a shorthand way of expressing a number raised to a certain power. For example, the expression x⁴ means that x is to be multiplied by itself four times. This can also be written as x × x × x × x.
When two expressions contain exponents that are the same, they can be divided using the same properties as when two expressions with no exponents are divided. The key to properly dividing two expressions with exponents is to understand the rules of exponents. This can be done by understanding the rules of multiplication and division and how they apply to exponents.
Rules of Exponents When Dividing
When two exponents are divided, the following rules apply: the base of the dividend (the number being divided) is kept the same, and the exponent of the dividend is subtracted from the exponent of the divisor (the number doing the dividing). For example, if you had the expression x⁴/x², the result would be x² because the base (x) is kept the same, and the exponent of the dividend (4) is subtracted from the exponent of the divisor (2) to get the result of 2.
The same rules apply when more than two exponents are divided. The base of the dividend is kept the same, and the exponents of the dividend are subtracted from the exponents of the divisor. For example, if you had the expression x⁴/x²/x³, the result would be x because the base (x) is kept the same, and the exponents of the dividend (4 and 2) are subtracted from the exponent of the divisor (3) to get the result of 1.
7.2 Skills Practice Division Properties of Exponents
To practice using the rules of exponents when dividing, complete the following 7.2 Skills Practice Division Properties of Exponents worksheet. This worksheet contains 10 problems that involve dividing two or more expressions that contain exponents. Complete each problem by applying the rules of exponents when dividing. Once you have finished the worksheet, check your answers to make sure you have correctly applied the rules of exponents.
Dividing expressions with exponents requires understanding the rules of exponents when dividing. This can be done by understanding the rules of multiplication and division and how they apply to exponents. To practice using the rules of exponents when dividing, complete the 7.2 Skills Practice Division Properties of Exponents worksheet. Make sure to check your answers to ensure you have correctly applied the rules of exponents.
Related Posts:
- Solving 11x 8x 3 5 2x: An Introduction to Exponent Notation Exponent notation is a mathematical notation used to write out repeated multiplication of a number. It is an efficient way to express a large number in a…
- Simplifying Expressions with Rational Exponents and Radicals… Simplifying expressions with rational exponents and radicals is a key concept in algebra. Rational exponents are a type of exponent that involves fractions, and radicals are the…
- Simplifying Expressions with Positive Exponents If you’re working with algebra, you’ll often encounter expressions that contain positive exponents. Simplifying these expressions is an important skill that can help you solve equations and…
- Lesson 6 Homework 3.7: Learning About Exponents Exponents are an important part of mathematics and can be used to simplify equations and solve problems. In lesson 6 of homework 3.7, students learn the basics…
- Positive Exponents: What You Need to Know An exponent is any number or symbol that is placed above and to the right of another number or symbol in order to indicate the power to…
- What is the Meaning of 2 10 3 10? The expression 2 10 3 10 is a popular phrase used in the world of mathematics. It is a type of numerical equation commonly found in calculus…
- 6 6 Rational Exponents Explained Rational exponents are an important concept in mathematics, and understanding them is essential for working with algebraic equations. Exponents are used to express the power of a…
- Simplifying Expressions with Multiplication and Division When working in mathematics, one of the most important skills is being able to simplify expressions. Expressions can be complicated, but with the right knowledge and practice,…
- 6 6 Skills Practice Rational Exponents Rational exponents are a branch of mathematics that deal with the expression of a number or a variable as a power of another number or variable. They…
- 2 3 x 26 The expression 2 3 x 26 can refer to an arithmetic multiplication problem or a mathematical expression. When applied to an arithmetic problem, the expression would be…
- Write and Evaluate the Expression: Comprehension and… An expression is a combination of numbers, symbols, and variables that represent a quantity or value. Expressions can be written in a variety of ways, but all…
- What Is 24 Times 8? Have you ever wondered what 24 times 8 is? This can be a confusing question to answer, especially if you're not an expert in mathematics. But don't…
- Solving for e 9e2f 49 The expression e 9e2f 49 can be a tricky one to solve. Understanding how to break down the problem into smaller parts is the key to solving…
- Course 2 Chapter 5 Expressions Expressions are a fundamental part of mathematics. Expressions are used to represent numbers, mathematical operations, and other mathematical concepts. Expressions can be as simple as a single…
- What Division Problem is Being Modeled? Division problems are a common mathematical concept, often used in everyday life. Modeling division problems is a way to illustrate how division works and to help students…
- Write Algebraic Expressions for Verbal Expressions Writing algebraic expressions for verbal expressions is a crucial skill for any student studying algebra. It is a fundamental part of understanding algebra as it allows you…
- What Is 25 of 60000? The figure 60000 is an amount that can be divided by various numbers to find the resulting outcome. 25 is one of those numbers that can be…
