Final answer:
None of the given equations A) 3 * 10 * (4 - 4)² = 4 - 8 * (8³) / 2 - 6, B) (6 - 5) - 3 = 6 * 15 * (5 - 3) / 6, or C) (2²) * 4 = 2 * 6 * 516 are correct. Each side of the equations results in different values after simplification, indicating errors in the original expressions or a typographical error in the question.
Step-by-step explanation:
The question asks which of the given equations is correct. Let's examine each option step by step:
- A) 3 * 10 * (4 - 4)² = 4 - 8 * (8³) / 2 - 6
We simplify the left side: 3 * 10 * (0)² = 3 * 10 * 0 = 0.
Then simplify the right side: 4 - 8 * (512) / 2 - 6.
This expression involves more complex arithmetic and will not equal to 0, so equation A is incorrect. - B) (6 - 5) - 3 = 6 * 15 * (5 - 3) / 6
Simplifying both sides gives 1 - 3 = -2 on the left side, and 6 * 15 * 2 / 6 = 30 on the right side. Since -2 does not equal 30, equation B is incorrect. - C) (2²) * 4 = 2 * 6 * 516
Simplifying the left side: (4) * 4 = 16. The right side involves a multiplication error and should be –2 * 6 * 5 = 60–, so equation C is incorrect as there's a typo in the original problem which should be 2 * 6 * 5 = 60.
Therefore, none of the given equations in their provided form are correct.