Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15

Topic

Exponents

Description

Example 15 shows how to simplify 2^-2. The image illustrates rewriting 2^-2 as the reciprocal of 2 raised to the second power. Example 15: Simplify 2^-2. Negative exponents are written as reciprocals. Solution: 2^-2 = 1/(2²) = 1/4.

In general, the topic of exponents involves understanding how repeated multiplication can be expressed more compactly. The examples provided in this collection allow students to see the step-by-step breakdown of how to simplify various exponential expressions, which can include positive and negative bases, fractional bases, and negative exponents.

By examining multiple worked-out examples, students gain a better grasp of the patterns and rules associated with exponents, enabling them to see consistency across different problem types. This exposure helps students understand how exponents operate under various conditions, which is crucial for mastering the topic.

Teacher's Script: Take a look at this example where we simplify the expression Example 15. Notice how we follow the rules for exponents to arrive at the answer. This approach applies to other similar problems, so keep an eye on how we handle the exponent and the base in each step.

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