3. $$ \frac{1}{3} imes \frac{22}{7} imes(6)^{2} imes 7 $$

Question

3. $$ \frac{1}{3} 	imes \frac{22}{7} 	imes(6)^{2} 	imes 7 $$

UpStudy AI · Accepted Answer

To evaluate the expression:

$$
\frac{1}{3} \times \frac{22}{7} \times 6^2 \times 7
$$

Let's break it down step by step:

1. **Calculate $$6^2$$:**
   $$
   6^2 = 36
   $$
   
   Now the expression becomes:
   $$
   \frac{1}{3} \times \frac{22}{7} \times 36 \times 7
   $$

2. **Simplify the multiplication:**
   
   Notice that the $$7$$ in the denominator and the $$7$$ in the numerator cancel each other out:
   $$
   \frac{22}{7} \times 7 = 22
   $$
   
   So the expression simplifies to:
   $$
   \frac{1}{3} \times 22 \times 36
   $$

3. **Multiply $$22 \times 36$$:**
   $$
   22 \times 36 = 792
   $$
   
   Now the expression is:
   $$
   \frac{1}{3} \times 792
   $$

4. **Final Division:**
   $$
   \frac{792}{3} = 264
   $$

**Final Answer:** $$264$$
The final answer is 264.

3. \( \frac{1}{3} \times \frac{22}{7} \times(6)^{2} \times 7 \)

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