Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

1:26 minutes

Problem 59c

Textbook Question

In Exercises 59–70, evaluate each exponential expression. (-10)^2

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Exponential Expressions

Exponential expressions involve a base raised to a power, indicating how many times the base is multiplied by itself. In the expression (-10)^2, the base is -10 and the exponent is 2, meaning -10 is multiplied by itself once, resulting in a positive value.

Properties of Exponents

Understanding the properties of exponents is crucial for evaluating expressions. One key property is that a negative base raised to an even exponent results in a positive outcome, as the negative signs cancel each other out. This property is essential for correctly evaluating expressions like (-10)^2.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which calculations are performed in mathematical expressions. When evaluating (-10)^2, it is important to follow these rules, ensuring that the exponentiation is performed before any other operations, leading to the correct result.