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: 51

Answer

$=-5a^{11}b$

Work Step by Step

Group factors with the same base: $$\frac{25a^{13}b^{4}}{-5a^{2}b^{3}}$$ $$=(\frac{25}{-5})(\frac{a^{13}}{a^{2}})(\frac{b^{4}}{b^{3}})$$ When dividing factors with the same non-zero base, subtract the exponent of the denominator from the exponent of the numerator: $$=-5a^{(13-2)}b^{(4-3)}$$ $$=-5a^{11}b$$
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