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Subtract: (-7z^(6)-2)-(-3z^(6)) Your answer should be in simplest terms. Enter the correct answer.

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Final answer:

You subtract (-3z^(6)) from (-7z^(6)-2) by changing the subtraction of a negative to addition of a positive, followed by combining like terms. As a result, the simplest form is -4z^(6) - 2.

Step-by-step explanation:

To answer this question, we must perform subtraction operation on two algebraic expressions: (-7z^(6)-2) and (-3z^(6)). Remember that subtracting a negative value is equivalent to adding a positive value. Hence, the operation could be rewritten as: (-7z^(6)-2) + (3z^(6)). We then simplify this by combining like terms.

The coefficient of z^(6) in the first expression is -7, and the coefficient of z^(6) in the second expression is 3. Add these two coefficients together, we get: (-7+3)z^(6), which simplifies to: -4z^(6). Don’t forget to bring down the -2 from the first expression.

Therefore, when (-7z^(6)-2) is subtracted from (-3z^(6)), the result or the simplest form would be -4z^(6) - 2.

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