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: 33

Answer

$\frac{1}{x^{15}}$

Work Step by Step

When an exponential expression is raised to a power, multiply the exponents: $$(x^{(-5)})^{3}$$ $$=x^{(-5\times3)}$$ $$=x^{(-15)}$$ A expression with a negative exponent can be simplified by moving the base from the numerator to the denominator (or vise versa): $$=\frac{1}{x^{15}}$$
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