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.2 - Page 33: 52



Work Step by Step

Group factors with the same base: $$\frac{35a^{14}b^{6}}{-7a^{7}b^{3}}$$ $$=(\frac{35}{-7})(\frac{a^{14}}{a^{7}})(\frac{b^{6}}{b^{3}})$$ When dividing factors with the same non-zero base, subtract the exponent of the denominator from the exponent of the numerator: $$=-5a^{(14-7)}b^{(6-3)}$$ $$=-5a^{7}b^{3}$$
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