Evaluate (1/3)^-3

Problem

(1/3)(−3)

Solution

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

2. Apply the rule by taking the reciprocal of the base 1/3 and changing the sign of the exponent from −3 to 3

(1/3)(−3)=(3/1)3

3. Simplify the base inside the parentheses.

(3/1)3=3

4. Calculate the value of the base raised to the power of 3.

3×3×3=27

Final Answer

(1/3)(−3)=27

Want more problems? Check here!