Question

Use the quotient rule to simplify the expression. Write the expression with positive exponents.

Answer 1

`\displaystyle 4^(4)`

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 [Dividing]:
  `\displaystyle (b^m)/(b^n) = b^(m - n)`

Explanation:

Step 1: Define

`\displaystyle (4^(-4))/(4^(-8))`

Step 2: Rewrite

1. Exponential Rule [Dividing]:
   `\displaystyle 4^(-4 - (-8))`
2. Subtract Exponents:
   `\displaystyle 4^(4)`