Answer
$1$
Work Step by Step
RECALL:
(i) $(a^m)^n = a^{mn}$
(ii) $(ab)^m=a^mb^m$
(ii) $a^m \cdot a^n =a^{m+n}$
(iv) $a^0=1, a\ne0$
Use rule (iii) above to obtain:
$=4.1^{5+(-5)}
\\=4.1^0$
Use rule (iv) above to obtain:
$=1$
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 - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 58
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