Question

BASE

-10
109
Which expression is equivalent to X X
-(
WN
?
No
O
WIN

Answer 1

`\displaystyle x^{(2)/(3)}`

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 [Powering]:
  `\displaystyle (b^m)^n = b^(m \cdot n)`

Explanation:

Step 1: Define

Identify

`\displaystyle (x^{(4)/(3)}x^{(2)/(3)})^{(1)/(3)}`

Step 2: Simplify

1. Exponential Rule [Multiplying]:
   `\displaystyle (x^{(4)/(3) + (2)/(3)})^{(1)/(3)}`
2. [Exponents] Add:
   `\displaystyle (x^(2))^{(1)/(3)}`
3. Exponential Rule [Powering]:
   `\displaystyle x^{2 \cdot (1)/(3)}`
4. [Exponents] Multiply:
   `\displaystyle x^{(2)/(3)}`