Question

20. (01.03 MC) What is the simplified expression ? (1 point)

Answer 1

Answer:

$\displaystyle 3^2$

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

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{3^3 \cdot 3^3}{3^4}$

Step 2: Simplify

1. [ER] Multiply:                    $\displaystyle \frac{3^{3+3}}{3^4}$
2. Add Exponents:               $\displaystyle \frac{3^6}{3^4}$
3. [ER] Divide:                      $\displaystyle 3^{6 - 4}$
4. Subtract Exponents:       $\displaystyle 3^2$