Question

(25 в степени √2)^-√2

Answer 1

если я правильно понял то роде так

Answer 2

To simplify the expression (25^(√2))^(-√2), we need to follow the rules of exponents. Let's break it down step by step:

Step 1: Calculate 25^(√2) Step 2: Take the reciprocal of the result from Step 1 Step 3: Raise the reciprocal to the power of (-√2)

Step 1: Calculate 25^(√2) To calculate 25^(√2), we raise 25 to the power of (√2).

25^(√2) ≈ 25^(1.414) ≈ 57.6655 (rounded to four decimal places)

Step 2: Take the reciprocal of the result from Step 1 The reciprocal of 57.6655 is 1/57.6655 ≈ 0.01735 (rounded to five decimal places).

Step 3: Raise the reciprocal to the power of (-√2) Now, we raise the reciprocal from Step 2 to the power of (-√2).

(1/57.6655)^(-√2) ≈ 0.01735^(-1.414) ≈ 0.0282 (rounded to four decimal places).

Therefore, (25^(√2))^(-√2) is approximately 0.0282 (rounded to four decimal places).