https://file.aiquickdraw.com/mathbot/file/1725392966886or0mm7he.jpg

The expression to evaluate is:

\[
\left(\frac{1}{4}\right)^{-2} - \left(5^0 \cdot 2\right) \cdot 1^{-1}
\]

Let's break this down step by step:

1. **Evaluate \(\left(\frac{1}{4}\right)^{-2}\):**
   \[
   \left(\frac{1}{4}\right)^{-2} = \left(\frac{4}{1}\right)^2 = 4^2 = 16
   \]

2. **Evaluate \(5^0 \cdot 2\):**
   \[
   5^0 = 1 \quad \text{(since any number to the power of 0 is 1)}
   \]
   \[
   5^0 \cdot 2 = 1 \cdot 2 = 2
   \]

3. **Evaluate \(1^{-1}\):**
   \[
   1^{-1} = \frac{1}{1} = 1
   \]

4. **Multiply \(2 \cdot 1^{-1}\):**
   \[
   2 \cdot 1 = 2
   \]

5. **Finally, subtract the two results:**
   \[
   16 - 2 = 14
   \]

So, the evaluated result of the expression is:

\[
\boxed{14}
\]

Would you like further details or have any questions?

Here are 5 related questions for further practice:

1. What is the value of \(\left(\frac{1}{3}\right)^{-2}\)?
2. Evaluate \(2^{-3} \cdot 4^2\).
3. Simplify \( \left(\frac{2}{5}\right)^{-3}\).
4. What is the result of \(10^0 \cdot 3^{-1}\)?
5. How would you simplify \(\left(\frac{1}{2}\right)^{-4} - 4\)?

**Tip:** Remember that a negative exponent means taking the reciprocal of the base and then raising it to the positive power.

Learn how to evaluate the expression (1/4)^{-2} - (5^0 * 2) * 1^{-1} step by step, covering concepts such as negative exponents and the properties of exponents. This problem is suitable for students in Grades 8-10.

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