Which expression is equivalent to (5^-1)^-2

1. 1
2. 25
3. 1/5
4. 125

1 answer

The expression (5^-1)^-2 can be simplified by using the rule of exponentiation: (a^m)^n = a^(m*n).

In this case, we have (5^-1)^-2. The exponent -2 multiplied by the exponent -1 gives -2 * -1 = 2. So we have (5^2).

Therefore, the expression is equivalent to 25.

The answer is 2. 25.