College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.4 - Polynomials - R.4 Assess Your Understanding: 15

Answer

not a monomial

Work Step by Step

RECALL: (1) A monomial is a product of a constant and some variable/s whose exponents are nonnegative integers. (2) The degree of a monomial is the sum of the exponents of its variables. Using the rule $\dfrac{1}{y} = y^{-1}$, the given expression is equivalent to: $=8x \cdot \frac{1}{y} \\=8x \cdot y^{-1} \\=8xy^{-1}$ The exponent of $y$ is $-1$, which is not a nonnegative integer. Thus, the given expression is NOT a monomial.
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