Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.1 Rules for Exponents - 3.1 Exercises: 12

Answer

$\frac{1}{4096}$

Work Step by Step

Step 1: $4^{547}(4^{-553})$ Step 2: $4^{547}\times4^{-553}$ Step 3: $4^{547}\times\frac{1}{4^{553}}$ Step 4: $\frac{4^{547}}{4^{553}}$ Step 5: $\frac{1}{4^{553-547}}$ Step 6: $\frac{1}{4^{6}}$ Step 7: $\frac{1}{4096}$
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