Question

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

Answer 1

Answer:

$\displaystyle 4^{4}$

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]:                                                                           $\displaystyle \frac{b^m}{b^n} = b^{m - n}$

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4^{-4}}{4^{-8}}$

Step 2: Rewrite

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