Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Exercises - Page 296: 21

Answer

$\frac{32x^{7}}{y^{6}}$

Work Step by Step

The given expression is $=\frac{2^2y^{-6}}{8^{-1}z^0x^{-7}}$ Use $a^0=1$. $=\frac{2^2y^{-6}}{8^{-1}(1)x^{-7}}$ Use $a^{-n}=\frac{1}{a^n}$. $=\frac{2^28^{1}x^{7}}{y^{6}}$ Use $2^2=4$. $=\frac{4\cdot8^{1}x^{7}}{y^{6}}$ Simplify. $=\frac{32x^{7}}{y^{6}}$.
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