# Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 34

$\frac{x^2}{8 z^7}$

#### Work Step by Step

We start with the given expression: $2^{-3}x^2z^{-7}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rearrange the expression as follows: $\frac{x^2}{2^3z^7}$ We expand the constant exponent in the denominator: $\frac{x^2}{2\times2\times2\times z^7}=\frac{x^2}{8 z^7}$

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