Math Example--Exponential Concepts--Laws of Exponents: Example 5

Topic

Exponents

Description

This example demonstrates the simplification of an expression using exponents with multiple terms. The problem involves simplifying x⁴ * x⁶ * x⁸, which results in x¹⁸. This showcases how the exponents of terms with the same base can be added when multiplying.

Understanding how to simplify expressions with multiple exponents is fundamental in algebra and higher mathematics. These examples help students grasp the concept that when multiplying terms with the same base, the exponents are added regardless of how many terms there are. By presenting various scenarios, students learn to apply these rules confidently in different mathematical contexts.

Exposure to multiple worked-out examples is crucial for students to fully comprehend the concept of exponent multiplication. Each example builds upon previous knowledge, reinforcing core principles while introducing new complexities. This approach helps students develop a deeper understanding and the ability to tackle more challenging problems involving exponents.

Teacher's Script: Let's look at an example with multiple terms: x⁴ * x⁶ * x⁸. Remember our rule: when multiplying terms with the same base, we add the exponents. So, we're adding 4, 6, and 8. What do we get? That's right, x¹⁸. Notice how this works no matter how many terms we have. As long as the base is the same, we just keep adding those exponents!

For a complete collection of math examples related to Exponents click on this link: Math Examples: Laws of Exponents Collection.