Chapter 1: Q. 417 (page 92)

In the following exercises, simplify.
$- \frac{270 x^{3}}{198 y^{2}}$

Short Answer

Expert verified

The simplest form of $- \frac{270 x^{3}}{198 y^{2}}$ is $- \frac{15 x^{3}}{11 y^{2}} .$

Step by step solution

Step 1. Given information

The fraction is $- \frac{270 x^{3}}{198 y^{2}}$ .

Step 2. Simplify

$- \frac{270 x^{3}}{198 y^{2}} = - \frac{2 \times 3 \times 3 \times 15 \times x^{3}}{2 \times 3 \times 3 \times 11 \times y^{2}} Factorizethenumeratoranddenominator = - \frac{(2 \times 3 \times 3) \times 15 \times x^{3}}{(2 \times 3 \times 3) \times 11 \times y^{2}} Groupcommonfactorsof the numerator and denominator = - \frac{15 x^{3}}{11 y^{2}} Cancelcommonfactorsof the numerator and denominator$

Hence, $- \frac{270 x^{3}}{198 y^{2}} = - \frac{15 x^{3}}{11 y^{2}}$

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In the following exercises, simplify.
$- \frac{270 x^{3}}{198 y^{2}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

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In the following exercises, simplify.-270x3198y2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Calculus

Decision Maths

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$- \frac{270 x^{3}}{198 y^{2}}$