Question

Почему -10 в шестой степени получается -1000000, а (-10) в шестой степени получается 1000000

Answer 1

6 — это чётная степень, а в чётной степени все числа положительные.

Answer 2

Все не только из-за четной степени, но и из-за скобок. В первом случае в 6 степень ты возводишь просто 10, а минус не трогается, а во втором -10, и вот здесь уже важна четность/нечетность степени

Answer 3

Understanding the Difference in Results for (-10) to the Power of 6

When evaluating the expression (-10) to the power of 6, it's important to understand the concept of exponentiation and the effect of negative bases on the result.

Negative Base to an Even Power: When a negative number is raised to an even power, the result is always positive. This is due to the fact that an even number of negative signs multiplied together will always result in a positive value.

Negative Base to an Odd Power: Conversely, when a negative number is raised to an odd power, the result will be negative. This is because an odd number of negative signs multiplied together will result in a negative value.

Calculation:

- (-10) to the Power of 6: - When (-10) is raised to the power of 6, the result is 1000000. - This is because an even power (6) applied to a negative base (-10) results in a positive value.

- -10 to the Power of 6: - When -10 is raised to the power of 6, the result is -1000000. - This is because the negative sign is part of the base and is raised to the power of 6, resulting in a negative value.

Conclusion:

The difference in the results for (-10) to the power of 6 and -10 to the power of 6 is due to the application of the exponentiation rules for negative bases and even or odd powers.