# Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 41

$\frac{5}{a^{4}}$

#### Work Step by Step

We are given the expression $5a^{-4}$. In general, we know that $a^{-n}=\frac{1}{a^{n}}$ (where a is a nonzero real number and n is an integer). Therefore, $5a^{-4}=5\times\frac{1}{a^{4}}=\frac{5}{a^{4}}$. Since the 5 is not in parentheses with a, we evaluate the exponent with only $a$ as its base.

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