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The expression to evaluate is:

\[
\left( \frac{49}{100} \right)^{-\frac{1}{2}}
\]

### Step-by-Step Solution:

1. First, let's simplify the negative exponent. When a number is raised to a negative power, you can take the reciprocal and change the sign of the exponent:
   
   \[
   \left( \frac{49}{100} \right)^{-\frac{1}{2}} = \left( \frac{100}{49} \right)^{\frac{1}{2}}
   \]

2. Now, the exponent \(\frac{1}{2}\) indicates the square root. So, we need to find the square root of \(\frac{100}{49}\):

   \[
   \sqrt{\frac{100}{49}} = \frac{\sqrt{100}}{\sqrt{49}} = \frac{10}{7}
   \]

Thus, the evaluated result is \(\frac{10}{7}\).

3. The answer is in fraction form as required. To express it to two decimal places, divide \(10\) by \(7\):

   \[
   \frac{10}{7} \approx 1.43
   \]

### Final Answer:
- The fraction form is \(\frac{10}{7}\).
- In decimal form (to two decimal places), the answer is approximately **1.43**.

Would you like more details or have any further questions?

Here are some related questions for you to explore:
1. What happens when you raise a fraction to a negative exponent?
2. How do you calculate square roots of fractions?
3. What is the reciprocal of a fraction, and how is it used in solving equations?
4. Can you express \(\frac{10}{7}\) as a mixed number?
5. What other methods could be used to approximate the value of \(\frac{10}{7}\)?

**Tip:** Always remember to handle negative exponents by taking the reciprocal of the base and changing the exponent to positive!

Evaluate: (49/100)^(-1/2). The answer must be in fraction form to two decimal places.

Learn how to evaluate (49/100)^(-1/2) using the negative exponent rule and the square root of fractions. Step-by-step solution to find the fraction result and its decimal approximation to two decimal places. Suitable for students in Grades 8-10.

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