6. Выполните действия: 1) (1/3⁵) · 243 + 0,25 · 4,4 − 2,34; 2) ((1,5)³ · 8 − 21)/(5 · 2)³ + 2,45; 3) ((2,5)² · 8 − 42,8)/(5 · 2)² + 6,45; 4) ((0,5)² · 6³ − 4,8)/(5 · 4)² − 2,45 : 4⁻¹; 5) (24² − 13²)/33 + 3²; 6) (105² − 99²)/408 − 2⁻²; 7) (24³ + 12³)/(21² − 15²) + 6⁻¹; 8) (18³ + 15³)/(19² − 14²) + 5⁻¹.

1. \(243:3^5+0.25\cdot4.4-2.34=1+1.1-2.34=-0.24\).
2. \(\frac{1.5^3\cdot8-21}{10^3}+2.45=\frac{27-21}{1000}+2.45=2.456\).
3. \(\frac{2.5^2\cdot8-42.8}{100}+6.45=\frac{50-42.8}{100}+6.45=6.522\).
4. \(\frac{0.25\cdot216-4.8}{400}-2.45:4^{-1}=\frac{49.2}{400}-9.8=-9.677\).
5. \(\frac{24^2-13^2}{33}+9=\frac{407}{33}+9=\frac{704}{33}\).
6. \(\frac{105^2-99^2}{408}-\frac14=\frac{1224}{408}-\frac14=3-\frac14=\frac{11}{4}\).
7. \(\frac{24^3+12^3}{21^2-15^2}+\frac16=\frac{15552}{216}+\frac16=72+\frac16=\frac{433}{6}\).
8. \(\frac{18^3+15^3}{19^2-14^2}+\frac15=\frac{9207}{165}+\frac15=\frac{3069}{55}+\frac{11}{55}=\frac{3080}{55}=56\).

Ответ: 1) −0,24; 2) 2,456; 3) 6,522; 4) −9,677; 5) \(\frac{704}{33}\); 6) \(\frac{11}{4}\); 7) \(\frac{433}{6}\); 8) 56.