Evaluate (1/2)^4

Problem

(1/2)4

Solution

1. Apply the power of a quotient rule, which states that for any fraction raised to a power, you raise both the numerator and the denominator to that power.

(1/2)4=1/2

2. Evaluate the numerator by multiplying 1 by itself four times.

1=1

3. Evaluate the denominator by multiplying 2 by itself four times.

2=2⋅2⋅2⋅2=16

4. Combine the results to form the final fraction.

1/16

Final Answer

(1/2)4=1/16

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