Evaluating the Expression 4^3/2 x 27^1/3
Understanding the Expression
The given expression is 4^3/2 x 27^1/3. To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Exponents
- Division and Multiplication
- Addition and Subtraction
Evaluating the Exponents
First, let's evaluate the exponents:
- 4^3 = 4 × 4 × 4 = 64
- 27^1/3 = ∛27 = 3 (since 3^3 = 27)
Simplifying the Expression
Now, let's simplify the expression:
64/2 × 3
Evaluating the Division and Multiplication
Next, let's perform the division and multiplication:
- 64/2 = 32
- 32 × 3 = 96
Final Answer
Therefore, the final answer is:
96
