Calculate the following expressions: 1) 0,1 · 60² = 360 2) (4 · ¾)² = ⅚ 3) -3 · (⁻¹/³)³ = 1 4) 6³ - (-8)² = 280 5) (4,9 - 5,1)⁵ = -0,00032 6) 9 + 7² = 50

Решение:

1. \( 0,1 · 60^2 = 0,1 · 3600 = 360 \).
2. \( \left(4 · \frac{3}{8}\right)^2 = \left(\frac{12}{8}\right)^2 = \left(\frac{3}{2}\right)^2 = \frac{9}{4} \).
3. \( -3 · \left(-\frac{1}{3}\right)^3 = -3 · \left(-\frac{1}{27}\right) = \frac{3}{27} = \frac{1}{9} \).
4. \( 6^3 - (-8)^2 = 216 - 64 = 152 \).
5. \( (4,9 - 5,1)^5 = (-0,2)^5 = \left(-\frac{2}{10}\right)^5 = \left(-\frac{1}{5}\right)^5 = -\frac{1}{3125} = -0,00032 \).
6. \( 9 + 7^2 = 9 + 49 = 58 \).

Ответ: 1) 360; 2) ¾; 3) ⅟; 4) 152; 5) -0,00032; 6) 58.