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: 56

Answer

$\frac{1}{1000x^{6}}$

Work Step by Step

When a product is raised to a power, raise each factor to that power: $$(10x^{2})^{-3}$$ $$=10^{-3}x^{(2\times(-3))}$$ $$=10^{-3}x^{-6}$$ Write as a fraction, move the base with the negative exponent to the other side of the fraction, and make the exponent positive: $$=\frac{1}{10^{3}x^{6}}$$ $$=\frac{1}{1000x^{6}}$$
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