Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Cumulative Review Exercises - Page 686: 12



Work Step by Step

To simplify this expression, we use the quotient property of exponents, which states that to divide powers with the same base, we subtract the power of the denominator from the power of the numerator, keeping the same base. $$\frac{12}{3}x^{3 - 12}$$ We subtract the exponents: $$\frac{12}{3}x^{-9}$$ Divide the coefficients to simplify: $$4x^{-9}$$ To get rid of negative exponents, which we don't want to have, we transfer the exponent to the denominator and change the negative sign to a positive sign: $$\frac{4}{x^9}$$
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