Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Operations With Exponents - Exercises: 12

Answer

$$\frac{1}{n^{3}}$$

Work Step by Step

To divide powers of the same base $n$, subtract the exponents of $n$: $$\frac{n^{3}}{n^{6}}=n^{3-6}=n^{-3}.$$ If the resulting exponent of $n$ is negative, then the expression is equivalent to the reciprocal of $n$ raised to the that same positive exponent: $$n^{-3}=\frac{1}{n^{3}}.$$
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