Evaluate (1/4)^-2

Problem

(1/4)(−2)

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 and changing the sign of the exponent.

(1/4)(−2)=(4/1)2

3. Simplify the fraction inside the parentheses.

(4/1)2=4

4. Evaluate the square of the number.

4=16

Final Answer

(1/4)(−2)=16

Want more problems? Check here!