Question

Вычислите 25^2-5^2/5^7

Answer 1

25^2-5^2/5^7=25^2-5^-5=625-0.000032=624.999968≈624.9

Answer 2

To compute the expression 25^2 - 5^2 / 5^7, follow the order of operations (PEMDAS/BODMAS):

1. First, calculate the exponents: 25^2 and 5^2: 25^2 = 25 * 25 = 625 5^2 = 5 * 5 = 25

2. Next, calculate the division: 5^2 / 5^7: 5^2 / 5^7 = 25 / (5^7)

To divide powers with the same base, subtract the exponents: 7 - 2 = 5 So, 5^7 = 5 * 5 * 5 * 5 * 5 * 5 * 5 = 78125

Therefore, 5^2 / 5^7 = 25 / 78125 = 0.00032 (approximately)

3. Now, subtract the result of step 2 from the result of step 1: 25^2 - 5^2 / 5^7 = 625 - 0.00032 ≈ 624.99968

So, the final result is approximately 624.99968.