46 Вычислите: 1) 21⋅23; 3) 4,42 + (2,5)³; 5) 33⋅(112; 4 3 2) 31:24; 4) 30 – (3,6)²; 6) (33)2:(11)3. 5 4

1. $$2\frac{1}{4} \cdot 2^3 = \frac{9}{4} \cdot 8 = 9 \cdot 2 = 18$$
2. $$3\frac{1}{5} : 2^4 = \frac{16}{5} : 16 = \frac{1}{5} = 0,2$$
3. $$4,42 + (2,5)^3 = 4,42 + 6,25 \cdot 2,5 = 4,42 + 15,625 = 20,045$$
4. $$30 - (3,6)^2 = 30 - 12,96 = 17,04$$
5. $$3^3 \cdot (1\frac{1}{3})^2 = 27 \cdot (\frac{4}{3})^2 = 27 \cdot \frac{16}{9} = 3 \cdot 16 = 48$$
6. $$(3\frac{3}{4})^2 : (1\frac{1}{4})^3 = (\frac{15}{4})^2 : (\frac{5}{4})^3 = \frac{15^2}{4^2} : \frac{5^3}{4^3} = \frac{15^2 \cdot 4^3}{4^2 \cdot 5^3} = \frac{15^2 \cdot 4}{5^3} = \frac{3^2 \cdot 5^2 \cdot 4}{5^3} = \frac{9 \cdot 4}{5} = \frac{36}{5} = 7,2$$

Ответ: 1) 18; 2) 0,2; 3) 20,045; 4) 17,04; 5) 48; 6) 7,2.