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: 34

Answer

$=\frac{1}{x^{24}}$

Work Step by Step

When an exponential expression is raised to a power, multiply the exponents: $$(x^{(-6)})^{4}$$ $$=x^{(-6\times4)}$$ $$=x^{(-24)}$$ A expression with a negative exponent can be simplified by moving the base from the numerator to the denominator (or vise versa): $$=\frac{1}{x^{24}}$$
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