Solve -(-(3)²)²: Double Negative with Square Numbers

((3)2)2= -(-(3)^2)^2=

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Step-by-step video solution

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00:00 Solve
00:04 Calculate the power without the sign, then apply the sign afterwards
00:12 Break down the power into multiplications, and solve
00:24 Negative times negative always equals positive
00:32 Negative times positive always equals negative
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

((3)2)2= -(-(3)^2)^2=

2

Step-by-step solution

To solve the expression ((3)2)2-(-(3)^2)^2, we will strictly follow the order of operations, PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

  • Step 1: Evaluate the inner exponent.
    We compute (3)2=9(3)^2 = 9.
  • Step 2: Apply the first negative sign.
    The expression becomes ((3)2)=(9)=9-((3)^2) = -(9) = -9.
  • Step 3: Apply the second negative sign and exponent.
    Now, simplify (9)2-(-9)^2.
    First, evaluate the exponent: (9)2=(9)×(9)=81(-9)^2 = (-9) \times (-9) = 81.
    Then, apply the negative sign: 81-81.

Therefore, the solution to the problem is 81-81.

3

Final Answer

81 -81

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\( (-2)^7= \)

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