Question

55^4*(3^3)^2*(2/3)^4*11/ (11^5)^2*(1/2)^6*(6:11)^5*10^4=?

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression, you can use the rules of exponents and perform the calculations step by step:

1. Start by calculating the powers of each base:

   • 55^4 = 17850625
   • (3^3)^2 = 3^(3*2) = 3^6 = 729
   • (2/3)^4 = 2^4 / 3^4 = 16 / 81
   • 11^5 = 161051
   • (1/2)^6 = 1/2^6 = 1/64
   • (6/11)^5 (Note that 6:11 is the same as 6/11) = (6/11)^5

2. Now, simplify the expression: (17850625 * 729 * (16/81) * 11) / (161051^2 * (1/64) * (6/11)^5 * 10000)

3. Calculate the numerator: Numerator = 17850625 * 729 * (16/81) * 11 Numerator = 17850625 * 729 * (16/81) * 11 Numerator = 275156250

4. Calculate the denominator: Denominator = 161051^2 * (1/64) * (6/11)^5 * 10000 Denominator = 260109088201 / (6/11)^5 * 10000

5. Calculate (6/11)^5: (6/11)^5 ≈ 0.19056

6. Now, calculate the denominator: Denominator ≈ 260109088201 / 0.19056 * 10000 Denominator ≈ 13627279897400

7. Now, divide the numerator by the denominator: 275156250 / 13627279897400 ≈ 0.0201860441 (rounded to 10 decimal places)

So, the simplified value of the expression is approximately 0.0201860441.