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

Radical Expressions

College Algebra

0. Review of Algebra

Radical Expressions

1:42 minutes

Problem 25a

Textbook Question

In Exercises 25–34, use the zero-exponent rule to simplify each expression. 6⁰

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Key Concepts

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

Zero Exponent Rule

The zero exponent rule states that any non-zero base raised to the power of zero equals one. This rule is fundamental in algebra as it simplifies expressions and helps in solving equations. For example, 6⁰ simplifies to 1, regardless of the base, as long as the base is not zero.

Exponential Notation

Exponential notation is a way to express repeated multiplication of a number by itself. It consists of a base and an exponent, where the exponent indicates how many times the base is multiplied. Understanding this notation is crucial for applying rules like the zero exponent rule effectively.

Properties of Exponents

Properties of exponents are a set of rules that govern how to manipulate expressions involving exponents. These include rules for multiplication, division, and powers of powers. Familiarity with these properties allows for the simplification of complex expressions and is essential for solving algebraic problems.