# Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 58

$1$

#### 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: $=1$

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