Question

Simplify the following expression.

1/Z^-3
A.)1/-Z^3
B.)-3z
C.)z^3

Answer 1

C.) z³

General Formulas and Concepts:

Algebra I

• Exponential Rule [Fraction]:
  `\displaystyle (1)/(b^m) = b^(-m)`

Explanation:

Step 1: Define

`\displaystyle (1)/(z^(-3))`

Step 2: Simplify

1. Apply Exponential Rule [Fraction]:
   `\displaystyle (1)/(z^(-3)) = z^(-(-3))`
2. Simplify Exponent [Multiply]:
   `\displaystyle (1)/(z^(-3)) = z^(3)`