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:
$=\dfrac{5^{2+3}}{5^{3+2}}
\\=\dfrac{5^5}{5^5}
\\=5^{5-5}
\\=5^0$
Algebra 1
by Hall, Prentice
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 - Page 443: 11
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