Evaluate (1/2)^-3

Problem

(1/2)(−3)

Solution

1. Identify the negative exponent rule, which states that a base raised to a negative power is equal to the reciprocal of the base raised to the positive power.

(a/b)(−n)=(b/a)n

2. Apply the rule to the expression by flipping the fraction and changing the sign of the exponent.

(1/2)(−3)=(2/1)3

3. Simplify the fraction inside the parentheses.

(2/1)3=2

4. Calculate the final value by multiplying the base by itself three times.

2×2×2=8

Final Answer

(1/2)(−3)=8

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