Question

Решить: 0,25^-3/2 +25^3/2

Answer 1

(1/4)^-3/2 + (5^2)^3/2 = 4^3/2 + 5^3  = 2^3 + 125 = 8 + 125 = 133

Ответ; 133

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Evaluate 0.25^(-3/2) Step 2: Evaluate 25^(3/2) Step 3: Add the results from Step 1 and Step 2.

Step 1: Evaluate 0.25^(-3/2) To evaluate this, we need to take the reciprocal of 0.25^3/2 (which is the same as the square root of 0.25^3):

0.25^3 = 0.25 * 0.25 * 0.25 = 0.015625

So, the reciprocal of 0.015625 is 1 / 0.015625 ≈ 64.

Step 2: Evaluate 25^(3/2) 25^(3/2) means taking the square root of 25 and then raising it to the power of 3:

√25 = 5 5^3 = 5 * 5 * 5 = 125

Step 3: Add the results from Step 1 and Step 2

0.25^(-3/2) + 25^(3/2) ≈ 64 + 125 = 189

Therefore, the result is 189.