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

1:06 minutes

Problem 4a

Textbook Question

The reciprocal of 6/2 is 3/1.

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Key Concepts

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

Reciprocal

The reciprocal of a number is defined as 1 divided by that number. For a fraction, the reciprocal is obtained by swapping its numerator and denominator. For example, the reciprocal of 6/2 is 2/6, which simplifies to 1/3. Understanding reciprocals is essential for operations involving division and fractions.

Fractions

A fraction represents a part of a whole and consists of a numerator (the top number) and a denominator (the bottom number). In the case of 6/2, 6 is the numerator and 2 is the denominator, indicating that 6 is divided into 2 equal parts. Mastery of fractions is crucial for performing arithmetic operations and understanding ratios.

Simplification

Simplification involves reducing a fraction to its simplest form, where the numerator and denominator have no common factors other than 1. For instance, the fraction 6/2 simplifies to 3/1, as both 6 and 2 can be divided by 2. This concept is vital for making calculations easier and clearer in algebra.