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

1:21 minutes

Problem 13a

Textbook Question

Simplify each expression. See Example 1. (n^6)(n^4)(n)

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Key Concepts

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

Properties of Exponents

The properties of exponents are rules that govern how to manipulate expressions involving powers. Key rules include the product of powers rule, which states that when multiplying like bases, you add their exponents. For example, a^m * a^n = a^(m+n). Understanding these properties is essential for simplifying expressions with exponents.

Simplifying Expressions

Simplifying expressions involves reducing them to their most basic form while maintaining equivalence. This process often includes combining like terms, applying the properties of exponents, and eliminating unnecessary parentheses. Mastery of simplification techniques is crucial for solving algebraic problems efficiently.

Like Bases

Like bases refer to terms that have the same base in exponential expressions. When simplifying expressions with like bases, you can apply the properties of exponents effectively. For instance, in the expression (n^6)(n^4)(n), all terms share the base 'n', allowing you to combine them by adding their exponents.