Evaluate the expression 2^-2*5^3, and give your answer as an integer or a reduced fraction

To evaluate the expression \( 2^{-2} \times 5^3 \), follow these steps:

1. **Evaluate each term separately:**

   - \( 2^{-2} \) is the same as \( \frac{1}{2^2} = \frac{1}{4} \).
   - \( 5^3 \) is \( 5 \times 5 \times 5 = 125 \).

2. **Multiply the results:**

   \[
   2^{-2} \times 5^3 = \frac{1}{4} \times 125 = \frac{125}{4}
   \]

So, the evaluated expression is \( \frac{125}{4} \).

Would you like more information on this topic? Here are some related questions:

1. How do you simplify expressions with negative exponents?
2. What is the general rule for multiplying powers?
3. How do you convert a fraction to a decimal?
4. What are the steps to simplify a fraction?
5. Can you convert the fraction \( \frac{125}{4} \) into a mixed number?

**Tip:** When multiplying a fraction by an integer, you can directly multiply the integer with the numerator and keep the denominator the same.

Learn how to evaluate the expression 2^-2 * 5^3 step-by-step. Understand exponents, negative exponents, and multiplication of powers with a detailed explanation and solution provided. Suitable for students in Grades 7-9.

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