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((-5)/(4))^(-1)=?...

`((-5)/(4))^(-1)=?`

A

`(4)/(5)`

B

`(-4)/(5) `

C

`(5)/(4)`

D

`(3)/(5)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \(\left(-\frac{5}{4}\right)^{-1}\), we can follow these steps: ### Step 1: Understand the Negative Exponent The negative exponent indicates that we need to take the reciprocal of the base. In this case, the base is \(-\frac{5}{4}\). ### Step 2: Write the Reciprocal Taking the reciprocal of \(-\frac{5}{4}\) means we flip the fraction. The reciprocal of \(-\frac{5}{4}\) is \(-\frac{4}{5}\). ### Step 3: Write the Final Answer Thus, we can conclude that: \[ \left(-\frac{5}{4}\right)^{-1} = -\frac{4}{5} \] ### Final Answer: \(-\frac{4}{5}\) ---
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