$\frac{- 5}{\frac{1}{( - 5 ) ^{2}}} = - 125$

Explanation

\frac{- 5}{\frac{1}{( - 5 ) ^{2}}} \frac{- 5}{\frac{1}{25}} \overset{◯}{1} - 125

①

Divide $- 5$ by $\frac{1}{25}$ to get $- 125$ .

Step 1: To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction.

Step 2: Write $- 5$ as a fraction by putting $1$ in the denominator.

Step 3: Multiply numerators and denominators.

\frac{- 5}{\frac{1}{25}} Step 1 - 5 \cdot \frac{25}{1} = Step 2 \frac{- 5}{1} \cdot \frac{25}{1} = \frac{- 125}{1} = - 125

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(−5)21​−5​=−125

$\frac{- 5}{\frac{1}{( - 5 ) ^{2}}} = - 125$