Properties of Exponents and Roots
Aligned To Common Core Standard:
High School - HSN-RN.A.1
Common Properties of Exponents and Roots Properties of exponents - The properties of exponents are also called operations for these components. Just like the order of the operations, there is a need for you to memorize such operations in order to be successful. There are five properties of exponents: Product of powers, Power to a power, Power of a product, Quotient of powers, Power of a Quotient, Properties of Roots. Roots are one of the most common mathematical elements to be used and it is commonly denoted by the symbol √. If the symbol is written alone with another number inside, then it means that it is a square root. If the symbol has a number before it like: 3√ then it means that it is asking for a cube root. Here are some of the properties of roots: Multiplication - √a x √b = √(ab) Addition - √a + √b ≠ √ (a + b) Subtraction - √a - √b ≠ √ (a - b) Division - √a/√b = √(a/b). These worksheets and lessons will help students understand the basic properties and nature of both exponents and roots.
Printable Worksheets And Lessons
- Rewriting Exponents Step-by-step Lesson- We work with fractional exponents in this lesson. We show you how roots and squares relate.
- Guided Lesson - A nice relation back and forth with exponents and roots. We also work on a fractional exponents.
- Guided Lesson Explanation - We show you a repeated way for solving problems of this magnitude.
- Practice Worksheet - Find the end value of all the inverse roots and squares we provide you with. They can be quite challenging.
- Matching Worksheet - This will be fun, but difficult at the same time. See how it goes.
- Exponents Five Pack - You are given various expressions. We want you to find the values of those expressions.
- Nature of Roots Sum and Product of Roots Worksheet Five Pack - All addition and multiplication here.
Practice rewriting exponents in root and vice versa.
- Homework 1 - We currently have the value in exponent form. We want to convert it to a root value. The good thing is that exponents and roots are just the opposite of one another.
- Homework 2 - We have to rewrite in exponent form. If we remember, the root form and exponent form are the inverse of one another.
- Homework 3 - We have to first simplify the given exponent form.
I provided brief explanations here to help students along with the skill faster.
Math Skill Quizzes
Each quiz mixes all the skills that you will find for this level.