Question

(1/27*125^-1)^-1/3*25/3*1/2^4/16^-1

Answer 1

Ответ:

-0,80

Объяснение:

Answer 2

Ответ:

125

Объяснение:

Answer 3

Let's break down the expression step by step:

1. Start with the expression: (1/27 * 125^-1)^(-1/3) * (25/3 * 1/2^(4/16^-1))

2. First, let's simplify the terms inside the parentheses:

   a. 125^-1 is the same as 1/125. b. 16^-1 is the same as 1/16.

   Now the expression looks like this:

   (1/27 * 1/125)^(-1/3) * (25/3 * 1/2^(4/(1/16)))

3. Calculate the values in the parentheses:

   a. 1/27 * 1/125 = 1/(27 * 125) = 1/3375

   b. 4/(1/16) = 4 * 16 = 64

   Now the expression looks like this:

   (1/3375)^(-1/3) * (25/3 * 1/2^64)

4. Calculate the negative exponent:

   (1/3375)^(-1/3) is equivalent to the cube root of (1/3375).

5. Calculate the cube root of 1/3375:

   (1/3375)^(1/3) ≈ 0.1 (approximately)

6. Now the expression looks like this:

   0.1 * (25/3 * 1/2^64)

7. Calculate the value of 2^64:

   2^64 is an extremely large number.

8. Calculate the final result:

   0.1 * (25/3 * a very large number) ≈ 0.1 * (a very large number)

The result will be a very large number, and it's not practical to calculate it precisely without a calculator or specialized software. However, you can approximate it as a very large number multiplied by 0.1.