Evaluate (1/5)^-2

Problem

(1/5)^(−2)

Solution

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

2. Invert the fraction to change the sign of the exponent from negative to positive.

(1/5)^(−2)=(5/1)^2

3. Simplify the base by dividing 5 by 1.

(5/1)^2=5^2

4. Evaluate the power by multiplying the base by itself.

5^2=25

Final Answer

(1/5)^(−2)=25

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