Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises: 50

Answer

$(n^{9})^{0}=1$

Work Step by Step

$(n^{9})^{?}=1$ The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$. We use this rule to rewrite the equation: $(n^{9})^{?}=n^0$ To raise a power to a power, we multiply the exponents. Therefore, in order for this equation to be correct, the product of $9$ and the second exponent must equal $0$. The only way this would work is if the second exponent is $0$ because $9\times0=0$. Therefore, the correct equation is $(n^{9})^{0}=1$
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