Answer:
6⁹
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]
- Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]
Step 2: Simplify
- Exponential Rule [Dividing]: [tex]\displaystyle 6^{6 - -3}[/tex]
- Rewrite: [tex]\displaystyle 6^{6 + 3}[/tex]
- Add: [tex]\displaystyle 6^{9}[/tex]
