Question

((0,04)^7 * 5^6)) / ((-125)^-5 * (-5)^3) Ответ:625

Answer 1

Числитель = 0,04^7 * 5^6 = (5^-2)^7 * 5^6 = 5^-14 * 5^6 = 5^-8
знаменатель = (-125)^-5 * (-5)^3 = ( 5^3)^-5 * 5^3= 5^-15 * 5^3 = 5^-12
а теперь сама дробь:
5^-8 : 5^-12 = 5^4 = 625

Answer 2

Let's calculate the expression step by step to verify if the given answer is correct:

Expression: ((0.04)^7 * 5^6) / ((-125)^-5 * (-5)^3)

Step 1: Simplify the exponents

0.04^7 = (4/100)^7 = (4^7) / (100^7) = 16384 / 10000000000 5^6 = 15625 (-125)^-5 = -1 / (-125)^5 = -1 / (-125 * -125 * -125 * -125 * -125) = -1 / (-390625) (-5)^3 = -5 * -5 * -5 = -125

Step 2: Substitute the simplified values back into the expression

((0.04)^7 * 5^6) / ((-125)^-5 * (-5)^3) = (16384 / 10000000000 * 15625) / (-1 / (-390625) * -125)

Step 3: Perform the division and multiplication

(16384 / 10000000000 * 15625) / (-1 / (-390625) * -125) = (256000000000 / 10000000000) / (390625 / -125) = 25600 / 3125 = 8.192

It looks like the given answer (625) is incorrect. The correct result is approximately 8.192.