College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.1: 114

Answer

$\frac{17}{36}$

Work Step by Step

Use the order of operations to simplify the expression:$$\frac{10\div2+3\times4}{(12-3\times2)^{2}}$$ As the fraction itself defines grouping symbols, the numerator and denominator are each individual groups. Within each group start with grouping symbols, then move to exponents, multiplication and division in order left to right, and finally addition and subtraction left to right:$$=\frac{5+12}{(12-6)^{2}}$$ $$=\frac{17}{6^{2}}$$ $$=\frac{17}{36}$$ This is the final solution as it can not be simplifed.
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