Evaluate (-1/4)^2

Problem

(−1/4)2

Solution

1. Identify the base and the exponent. The base is −1/4 and the exponent is 2

2. Apply the definition of an exponent, which means multiplying the base by itself.

(−1/4)⋅(−1/4)

3. Multiply the signs. A negative number multiplied by a negative number results in a positive number.

(−)⋅(−)=(+)

4. Multiply the fractions by multiplying the numerators together and the denominators together.

(1⋅1)/(4⋅4)

5. Simplify the resulting fraction.

1/16

Final Answer

(−1/4)2=1/16

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