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Evaluate the expression z^4 + 7z^3 - 9y^3 - y^2, when z = -6 and y = -5.

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Final answer:

The expression z^4 + 7z^3 - 9y^3 - y^2 evaluates to 884 when substituting z = -6 and y = -5.

Step-by-step explanation:

To evaluate the expression z^4 + 7z^3 - 9y^3 - y^2 when z = -6 and y = -5, we substitute the given values into the expression:

  • First, substitute z = -6: (-6)^4 + 7(-6)^3
  • Then, substitute y = -5: -9(-5)^3 - (-5)^2
  • Calculate each term:
  • Now, sum all these terms to get the final result: 1296 - 1512 + 1125 - 25
  • The result is 884.

The evaluated expression with z = -6 and y = -5 is 884.

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