Table of contents

0. Review of Algebra4h 18m
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 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:14 minutes

Problem 26

Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (5/9)*(2/7)

Verified step by step guidance

Identify the operation: This problem requires multiplication of two fractions.

Multiply the numerators: Multiply the numerator of the first fraction (5) by the numerator of the second fraction (2).

Multiply the denominators: Multiply the denominator of the first fraction (9) by the denominator of the second fraction (7).

Write the result as a new fraction: Place the product of the numerators over the product of the denominators.

Simplify the fraction: If possible, reduce the fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it.

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Key Concepts

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

Multiplication of Fractions

To multiply fractions, you multiply the numerators together and the denominators together. For example, in the expression (a/b) * (c/d), the result is (a*c)/(b*d). This process simplifies the multiplication of fractions into a straightforward operation, allowing for easy calculation.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD). This ensures the fraction is expressed in its simplest form, making it easier to understand and use.

Dividing Fractions

Dividing fractions involves multiplying by the reciprocal of the divisor. For instance, to divide (a/b) by (c/d), you multiply (a/b) by (d/c). This method transforms the division into a multiplication problem, simplifying the calculation and maintaining the integrity of the fractions involved.