Q. 500 (a) Is it a monomial, binomial, ... [FREE SOLUTION]

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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. 500 (page 564)

(a) Is it a monomial, binomial, or trinomial?
(b) What is its degree?
${(\frac{x^{4} y^{9}}{x^{- 3}})}^{2}$

Short Answer

Expert verified

The given polynomial is a monomial with degree 32.

Step by step solution

Step 1. Given Information

The given polynomial is ${(\frac{x^{4} y^{9}}{x^{- 3}})}^{2}$ .

Part (a) Step 1. Count the Number of Terms

Simplify the polynomial as follows:
$\begin{array}{rcl} {(\frac{x^{4} y^{9}}{x^{- 3}})}^{2} & = & {(x^{4 - (- 3)} y^{9})}^{2} \\ = & {(x^{7} y^{9})}^{2} \\ = & x^{14} y^{18} \end{array}$
As the number of terms in the polynomial is 1, it is a monomial.

Part (b) Step 1. Determine the Highest Power

The highest power of the term will be the sum of powers of all the present variables.
Add 14 and 18 to find the highest power of the term.

$14 + 18 = 32$

So, the degree of the monomial is 32.

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91影视

(a) Is it a monomial, binomial, or trinomial?
(b) What is its degree?
${(\frac{x^{4} y^{9}}{x^{- 3}})}^{2}$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Count the Number of Terms

Part (b) Step 1. Determine the Highest Power

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91影视

(a) Is it a monomial, binomial, or trinomial?(b) What is its degree?x4y9x-32

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Count the Number of Terms

Part (b) Step 1. Determine the Highest Power

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Statistics

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

(a) Is it a monomial, binomial, or trinomial?
(b) What is its degree?
${(\frac{x^{4} y^{9}}{x^{- 3}})}^{2}$