Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.2 - Exponents and Radicals - Exercises - Page 16: 76


$\displaystyle \frac{2}{3}\cdot x^{1.2}-\frac{1}{3}\cdot x^{2.1}$

Work Step by Step

An expression is in exponent form if * there are no radicals and * all powers of unknowns occur in the numerator. All terms in a sum or difference are of the form: (constant)(expression with x$)^{p}$ ----------------- For the first term (x in the denominator) we use $a^{-n}=\displaystyle \frac{1}{a^{n}}=(\frac{1}{a})^{n}$ so $\displaystyle \frac{2}{3x^{-1,2}}$ becomes $\displaystyle \frac{2}{3}x^{-(-1.2)}=\frac{2}{3}\cdot x^{1.2}$ the second term is $\displaystyle \frac{1}{3}\cdot x^{2.1}$ The expression, in exponent form is $\displaystyle \frac{2}{3}\cdot x^{1.2}-\frac{1}{3}\cdot x^{2.1}$
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