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.
Learn more about Algebraic Subtraction