Question

Simplify: 6^6/6^−3 Leave your answer in exponential form

Answer 1

6⁹

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Exponential Rule [Multiplying]:
  `\displaystyle b^m \cdot b^n = b^(m + n)`
• Exponential Rule [Dividing]:
  `\displaystyle (b^m)/(b^n) = b^(m - n)`

Explanation:

Step 1: Define

`\displaystyle (6^6)/(6^(-3))`

Step 2: Simplify

1. Exponential Rule [Dividing]:
   `\displaystyle 6^(6 - -3)`
2. Rewrite:
   `\displaystyle 6^(6 + 3)`
3. Add:
   `\displaystyle 6^(9)`