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 - Page 48: 11


not a monomial

Work Step by Step

RECALL: A monomial is a product of a constant and some variable/s whose exponents are nonnegative integers. Using the rule $\dfrac{1}{x} = x^{-1}$, the given expression is equivalent to: $=8 \cdot x^{-1} \\=8x^{-1}$ The exponent of the variable is $-1$, which is not a whole number. Thus, the expression is not a monomial.
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