Question

(1/5)^-2*(1,2)^-3*(5/6)^-4

Answer 1

Ответ:

(1/5)^-2*(1,2)^-3*(5/6)^-4 =

30

Answer 2

To simplify the expression, we need to apply the negative exponents first. Remember that a negative exponent means taking the reciprocal of the number.

(1/5)^-2 = (5/1)^2 = 5^2 = 25

(1,2)^-3 is ambiguous since (1,2) could be a coordinate point or a typo. I'll assume you meant (1/2).

(1/2)^-3 = (2/1)^3 = 2^3 = 8

(5/6)^-4 = (6/5)^4

Now, let's put it all together:

(1/5)^-2 * (1/2)^-3 * (5/6)^-4 = 25 * 8 * (6/5)^4

Now we can calculate the last part:

(6/5)^4 = (6^4) / (5^4) = 1296 / 625

So, the final result is:

25 * 8 * (6/5)^4 = 25 * 8 * (1296/625) = 25 * 8 * 2.0736 ≈ 413.76