Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - Mid-Chapter Quiz: 7

Answer

$\frac{1}{3m^6}$

Work Step by Step

We start with the given expression: $(2m^3)^0(3m^6)^{-1}$ The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$. Since anything multiplied by $1$ is itself, we can disregard the term that is raised to the $0$ power: $(3m^6)^{-1}$ Since any number raised to the $-1$ power is the reciprocal of the base, we can rewrite this expression as: $\frac{1}{3m^6}$
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