Question

Multiply or divide as indicated. Simplify all answers. $$ \frac{3 x}{5 y^{2}} \cdot \frac{y}{9} $$

Name: Problem 49, Chapter 6: Intermediate Algebra for College Students
Uploaded: 2020-07-27T16:58:36-08:00
Duration: 45 s
Channel: James Kiss
Description: Multiply or divide as indicated. Simplify all answers. (3 x)/(5 y^2) ·(y)/(9)

   Multiply or divide as indicated. Simplify all answers.
$$
\frac{3 x}{5 y^{2}} \cdot \frac{y}{9}
$$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 6, Problem 49

Instant Answer

Solved by Expert James Kiss

07/27/2020

Step 1

Step 1: Multiply the numerators (the top parts of the fractions) together: 3x * y = 3xy Show more…

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Multiply or divide as indicated. Simplify all answers. $$ \frac{3 x}{5 y^{2}} \cdot \frac{y}{9} $$

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Key Concepts

Multiplication of Rational Expressions

Multiplying rational expressions involves multiplying the numerators together and the denominators together. This method applies to fractions that contain variables and constants, and it sets the foundation for further simplification by creating a single fraction that can be managed as a whole.

Canceling Common Factors

Before or after performing the multiplication, common factors in the numerator and denominator can be canceled out. This process simplifies the expression by reducing it to its simplest form, eliminating unnecessary complexity and making the results easier to work with.

Exponent Rules

When variables with exponents appear in rational expressions, it is important to apply exponent rules correctly during simplification. These rules dictate how to multiply, divide, and cancel out exponential terms, especially when the same base appears in both the numerator and the denominator.

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