Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 11

Answer

$\dfrac{5^25^3}{5^35^2}=5^0$

Work Step by Step

RECALL: (i) $\dfrac{a^m}{a^n} = a^{m-n}, a \ne 0$ (ii) $a^m \cdot a^n = a^{m+n}$ Use the rules above to have: $=\dfrac{5^{2+3}}{5^{3+2}} \\=\dfrac{5^5}{5^5} \\=5^{5-5} \\=5^0$
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