Question

(0,5)³× 8⁷ × 12²/6³ × 2¹⁵

Answer 1

Ответ:

2³⁴/3

Объяснение:

0,5=2⁻¹, 8=2³, 12=2²3, 1/6=2⁻¹×3⁻¹

(0,5)³× 8⁷ × 12²/6³ × 2¹⁵=2⁻³×(2³)⁷×(2²)²×3²×2⁻³×3⁻³×2¹⁵=2⁻³⁺²¹⁺⁴⁻³⁺¹⁵×3²⁻³=2³⁴/3

Answer 2

To simplify the expression (0,5)³ × 8⁷ × 12² / 6³ × 2¹⁵, you can follow these steps:

1. Start by evaluating the powers and any expressions in parentheses:

   (0.5)³ = 0.5³ 8⁷ = 8⁴ * 8³ 12² = 12² 6³ = 6³ 2¹⁵ = 2¹⁵

2. Calculate the values of these expressions:

   0.5³ = 0.5 * 0.5 * 0.5 = 0.125 8⁴ = 8 * 8 * 8 * 8 = 4096 8³ = 8 * 8 * 8 = 512 12² = 12 * 12 = 144 6³ = 6 * 6 * 6 = 216 2¹⁵ = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 32,768

3. Substitute the calculated values back into the expression:

   (0.125) * 4096 * 144 / 216 * 32,768

4. Perform the multiplications and divisions in the expression:

   (0.125) * 4096 * 144 = 73728 216 * 32,768 = 7,077,888

5. Finally, multiply the results:

   73,728 / 7,077,888 ≈ 0.01042 (rounded to five decimal places)

So, the simplified value of the expression is approximately 0.01042.