Evaluate (1/2)^-4

Problem

(1/2)(−4)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an)

2. Apply the rule for a fraction raised to a negative power, which involves taking the reciprocal of the base and changing the sign of the exponent.

(1/2)(−4)=(2/1)4

3. Simplify the base inside the parentheses.

(2/1)4=2

4. Calculate the value of the base raised to the power of 4.

2⋅2⋅2⋅2=16

Final Answer

(1/2)(−4)=16

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