Simplifying the Expression: 1/3 × π × 12² × 16 in Terms of π
In this article, we will simplify the algebraic expression 1/3 × π × 12² × 16 in terms of π.
Step 1: Simplify the Expression
First, let's start by evaluating the exponentiation:
12² = 12 × 12 = 144
So, the expression becomes:
1/3 × π × 144 × 16
Step 2: Multiply the Numbers
Next, multiply the numbers:
1/3 × 144 = 48
Now, the expression becomes:
48 × π × 16
Step 3: Simplify Further
Multiply 48 and 16:
48 × 16 = 768
The expression now becomes:
768 × π
The Final Answer
Therefore, the simplified expression is:
768π
In terms of π, the original expression 1/3 × π × 12² × 16 simplifies to 768π.
