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

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

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Step-by-step video solution

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00:00 Solve
00:04 First, let's calculate the sign
00:09 Odd power, therefore the sign will be negative
00:21 Let's calculate the power
00:33 Negative times negative is always positive
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

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 .

3

Final Answer

125 125

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\( \)\( -(2)^2= \)

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