To simplify (x^(-2)) ^(-1), we first need to distribute the exponent -1 to each term within the parentheses.
Using the property of exponentiation, when we raise a power to another power, we multiply the exponents.
In this case, we multiply -2 by -1:
(x^(-2)) ^(-1) = x^((-2) * (-1))
Multiplying -2 by -1 gives us 2:
x^((-2) * (-1)) = x^2
Therefore, (x^(-2)) ^(-1) simplifies to x^2.
(x^(-2) )^(-1)
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