Răspuns:
Pentru fiecare calcule, vom urma ordinea de operații adică paranteze, puteri, înmulțiri și împărțiri, apoi adunări și scăderi.
a) \(-100: [(-8)^2+(-27) + \frac{432}{(-2.3)^2}- (-5)^3: (-5)^2 - 4]\)
a) \(-100: [(64 - 27) + \frac{432}{5.29} - (-125): 25 - 4]\)
a) \(-100: [37 + \frac{432}{-110.25} - (-125): 25 - 4]\)
a) \(-100: [37 - 3.92 - (-5): 25 - 4]\)
a) \(-100: [37 - 3.92 - 0.2 - 25 - 4]\)
a) \(-100: [7.88 - 29]\)
a) \(-100: [-21.12]\)
a) \(4.73\)
b) \(53. \left\{14. (-1)^{2023}+ (-1)^{2024} - 5. \left[5-4: (-2)\right]\right\}: 23\)
b) \(53. \left\{14. (-1) + 1 - 5. \left[5 + 2\right]\right\}: 23\)
b) \(53. \left\{14 - 5. [7]\right\}: 23\)
b) \(53. \left\{14 - 35\right\}: 23\)
b) \(53. \left\{-21\right\}: 23\)
b) \(53. \left\{-0.913\right\}\)
b) \(-48.389\)
c) \((-5)^{10}: (-5)-(-4): (-4)-(-7)^6: (-7)-(-5): (-5)^3 - (-3)^2: (-3)\)
c) \(9765625: -5 - (-4): -4 - 117649: -7 - (-5): -125 - 9: -3\)
c) \(9765625: -5 + 4: -4 - 117649: -7 + 5: -125 - 9: -3\)
c) \(-1953125 + 4: -4 - 117649: -2: -134: -3\)
c) \(-1953125 + 4: -4 + 117649: -2: -134: -3\)
c) \(-1953125 + 4: -4 + 117649: -2: -134: -3\)
c) \(-1953121: -4 + 117649: -2: -134: -3\)
c) \(488280.25 + 117649: -2: -134: -3\)
c) \(488280.25 + 117649: -2: -134: -3\)
c) \(488280.25 + 117649: -2: -134: -3\)
c) \(488280.25 + 117649: -2: -134: -3\)
c) \(488280.25 + 117649: -2: -134: -3\)
c) \(-602965.75: -2: -134: -3\)
c) \(301482.875: -134: -3\)
c) \(-2248.185: -3\)
c) \(749.395\)
d) \((-7)^{10}: (-7)^7-7--7-7. \left[(-4)^6: (-4)^5 - (-8)\right] - 2\)
d) \(282475249: -283. -14. \left[4096: -1024 + 8\right] - 2\)
d) \(282475249: -283. -14. \left[4 + 8\right] - 2\)
d) \(282475249: -283. -14. 12 - 2\)
d) \(282475249: -283. -168 - 2\)
d) \(282475249: -4512 - 2\)
d) \(-62506 - 2\)
d) \(-62508\)
e) \(1 - \left\{2 + (3-4) - \left[6 - (7-8) + (9-10)\right] - 11\right\} + 12\)
e) \(1 - \left\{2 + (-1) - \left[6 - (-1) + (-1)\right] - 11\right\} + 12\)
e) \(1 - \left\{2 - 6 + 1 + 1 - 11\right\} + 12\)
e) \(1 - \left\{-13\right\} + 12\)
e) \(1 + 13 + 12\)
e) \(26\)
f) \(\left(\frac{1250 - 375 + 250}{290 +1290 - 360}\right) \cdot \frac{3135 - 20230}{1}\)
f) \(\left(\frac{1125 + 250}{1820}\right) \cdot \frac{-17095}{1}\)
f) \(\left(\frac{1375}{1820}\right) \cdot \frac{-17095}{1}\)
f) \(\left(\frac{1375}{1820}\right) \cdot -17095\)
f) \(\frac{1375 \cdot -17095}{1820}\)
f) \(\frac{-2358125}{1820}\)
f) \(-1296.61\)
