To solve −(−5)3, we proceed as follows:
- Step 1: Calculate (−5)3. Since the exponent is 3, which is odd, the result will be negative. Specifically:
(−5)3=(−5)×(−5)×(−5).
- Step 2: Compute the multiplication:
(−5)×(−5)=25 (as multiplying two negatives gives a positive).
25×(−5)=−125 (as multiplying positive by negative gives a negative).
- Step 3: Now apply the outer negative to this result:
−(−125)=125.
Therefore, the solution to the problem is 125.