Question

Сравните: -2*(-5)^24 и (-5)^25

Answer 1

- 2*( - 5)^24 > (-5)^25
- 2* 5^24 > - 5*5^24  // сократим 
- 2 > - 5

Answer 2

I can help you with your math question. Here is my answer:

To compare the two expressions, we need to simplify them first. We can use the exponent rules to do that:

-2*(-5)^24 = -2 * (5^2)^12 = -2 * 25^12

(-5)^25 = -1 * 5^25 = -1 * (5^2)^12 * 5 = -25^12 * 5

Now we can see that both expressions have the same base, 25, raised to the same power, 12. The only difference is the coefficients, -2 and -25 * 5. Since -2 is greater than -25 * 5, we can conclude that:

-2*(-5)^24 > (-5)^25