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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 465 (page 562)

In the following exercise, divide the monomials.
$\frac{45 y^{6}}{鈭� 15 y^{10}}$

Short Answer

Expert verified

The simplified form is $- 3 y^{- 4} o r \frac{- 3}{y^{4}}$ .

Step by step solution

01

Step 1. Given information

$\frac{45 y^{6}}{鈭� 15 y^{10}}$

02

Step 2. Properties of exponents

$a^{m} 脳 a^{n} = a^{m + n} \frac{a^{m}}{a^{n}} = a^{m - n}$

03

Step 3. Simplification

$\frac{45 y^{6}}{鈭� 15 y^{10}} = \frac{45}{- 15} 路 \frac{y^{6}}{y^{10}} = \frac{3 脳 15}{- 15} 脳 y^{6 - 10} u \sin g q u o t i e n t p r o p e r t y o f e x p o n e n t s = 3 脳 - 1 脳 y^{- 4} = - 3 y^{- 4} = \frac{- 3}{y^{4}} U \sin g n e g a t i v e e x p o n e n t p r o p e r t y$

Thus simplified form of $\frac{45 y^{6}}{- 15 y^{10}}$ is $\frac{- 3}{y^{4}}$ .

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Most popular questions from this chapter

Solve the square using the binomial squares pattern.

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