Question

Find the product with the exponent in simplest

form. Then, identify the values of x and y.
6
X
- 64
.
6
X
y =
DONE

Answer 1

`\displaystyle 8^\bigg{(8)/(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 [Powering]:
  `\displaystyle (b^m)^n = b^(m \cdot n)`

Explanation:

Step 1: Define

Identify

`\displaystyle \bigg(8^\bigg{(2)/(3)} \bigg)^4`

Step 2: Simplify

1. Exponential Rule [Powering]:
   `\displaystyle 8^\bigg{(2)/(3) \cdot 4}`
2. Multiply:
   `\displaystyle 8^\bigg{(8)/(3)}`