QuestionFind the value of $(-1)^{-1}$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(-1)^{-1}$

STEP 2

The expression $(-1)^{-1}$ is an exponentiation operation where -1 is the base and -1 is the exponent. In general, any number raised to the power of -1 is the reciprocal of that number.
$a^{-1} = \frac{1}{a}$

STEP 3

Now, we substitute -1 for a in the formula.
$(-1)^{-1} = \frac{1}{-1}$

STEP 4

Calculate the reciprocal of -1.
$(-1)^{-1} = \frac{1}{-1} = -1$ So, $(-1)^{-1}$ equals -1.

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