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: 21

Answer

$\dfrac{t^{11}}{27m^2}$

Work Step by Step

RECALL: (i) $a^m \cdot a^n = a^{m+n}$ (ii) $a^{-m} = \dfrac{1}{a^m}, a\ne0$ (iii) $a^0=1, a\ne0$ Use the rules above to have: $=3^{2-5}m^{5-7}t^{6-(-5)} \\=3^{-3}m^{-2}t^{6+5} \\=\dfrac{1}{3^3} \cdot \dfrac{1}{m^2} \cdot t^{11} \\=\dfrac{t^{11}}{27m^2}$
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