26) Simplification Aptitude

1) The value of (14)2(7)2 x2 7x4 =?

A. 98

B. 35

C. 350

D. None of these

Give me the right option 

Let's simplify the expression step by step.

The expression given is:

\[
(14)^2 \times (7)^2 \times 2 \times 7 \times 4
\]

First, calculate \((14)^2\) and \((7)^2\):

\[
(14)^2 = 196
\]
\[
(7)^2 = 49
\]

So the expression now becomes:

\[
196 \times 49 \times 2 \times 7 \times 4
\]

Next, multiply these values:

\[
196 \times 49 = 9604
\]
\[
9604 \times 2 = 19208
\]
\[
19208 \times 7 = 134456
\]
\[
134456 \times 4 = 537824
\]

The final value is **537824**. Since this is not among the options provided, the correct answer is:

**D. None of these**

Would you like more details on how these calculations were performed? 

Here are 5 related questions for practice:

1. Simplify \((13)^2 \times (5)^2 \times 3 \times 5 \times 2\).
2. Calculate the value of \((12)^2 \times (6)^2 \times 2 \times 6\).
3. Simplify \((8)^2 \times (4)^2 \times 3 \times 4\).
4. Determine the value of \((15)^2 \times (10)^2 \times 2 \times 10\).
5. Simplify the expression \((9)^2 \times (3)^2 \times 2 \times 9\).

**Tip:** When simplifying expressions, always perform exponentiation before multiplication to avoid mistakes.

Learn how to simplify the expression (14)^2 * (7)^2 * 2 * 7 * 4 step-by-step with detailed calculations. Understand the concepts of exponents and multiplication involved in this problem. Suitable for Grades 7-9 students.

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