Solve -(-5)³: Evaluating the Negative of a Negative Cube

Question

(5)3= -(-5)^3=

Video Solution

Step-by-Step Solution

To solve (5)3 -(-5)^3 , we proceed as follows:

  • Step 1: Calculate (5)3(-5)^3. Since the exponent is 3, which is odd, the result will be negative. Specifically:
    (5)3=(5)×(5)×(5)(-5)^3 = (-5) \times (-5) \times (-5).
  • Step 2: Compute the multiplication:
    (5)×(5)=25(-5) \times (-5) = 25 (as multiplying two negatives gives a positive).
    25×(5)=12525 \times (-5) = -125 (as multiplying positive by negative gives a negative).
  • Step 3: Now apply the outer negative to this result:
    (125)=125-(-125) = 125.

Therefore, the solution to the problem is 125 125 .

Answer

125 125