Question

Simplify the following expression.
1/Z^-3
A.)1/-Z^3
B.)-3z
C.)z^3

Answer 1

Answer:

C.) z³

General Formulas and Concepts:

Algebra I

• Exponential Rule [Fraction]: $\displaystyle \frac{1}{b^m} = b^{-m}$

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{z^{-3}}$

Step 2: Simplify

1. Apply Exponential Rule [Fraction]:                                                                   $\displaystyle \frac{1}{z^{-3}} = z^{-(-3)}$
2. Simplify Exponent [Multiply]:                                                                             $\displaystyle \frac{1}{z^{-3}} = z^{3}$