Evaluate (-4)^-1

Problem

(−4)(−1)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) for any non-zero base a

2. Apply the rule to the expression by moving the base (−4) to the denominator and changing the exponent from −1 to 1

(−4)(−1)=1/((−4)1)

3. Simplify the denominator, noting that any number raised to the power of 1 is itself.

1/((−4)1)=1/(−4)

4. Rewrite the fraction in standard form by placing the negative sign in front of the fraction.

1/(−4)=−1/4

Final Answer

(−4)(−1)=−1/4

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