10) Calculați: a) 4³-3³+2²= b) 2⁶-7²-3²= c) 3⁴-5²-6²= d) 6³-5³-2⁴= e) 2⁷-3⁴-6²= f) 3⁴+2⁵-7²=
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Răspunsuri la întrebare
a) 4³-3³+2²= 4 x 4 x 4 - 3 x 3 x 3 + 2 x 2 = 16 x 4 - 9 x 3 + 4 = 64 - 27 +4 = 37 + 4 = 41
B) 2⁶-7²-3²= 2 x 2 x 2 x 2 x 2 x 2 - 7 x 7 - 3 x 3 = 4 x 2 x 2 x 2 x 2 - 49 - 9 = 8 x 2 x 2 x 2 - 49 - 9 = 16 x 2 x 2 - 49 - 9 = 32 x 2 - 49 - 9 = 64 - 49 - 9 = 15 - 9 = 6
c) 3⁴-5²-6²= 3 x 3 x 3 x 3 - 5 x 5 - 6 x 6 = 9 x 3 x 3 - 25 - 36 = 27 x 3 - 25 - 36 = 81 - 25 - 36 = 56 - 36 = 20
d) 6³-5³-2⁴= 6 x 6 x6 - 5 x 5 x 5 - 2 x 2 x 2 x 2 = 36 x 6 - 25 x 5 - 4 x 2 x 2 = 216 - 125 - 8 x 2 = 216 - 125 - 16 = 91 - 16 = 75
e) 2⁷-3⁴-6²= 2 x 2 x 2 x 2 x 2 x 2 x 2 - 3 x 3 x 3 x 3 - 6 x 6 = 4 x 2 x 2 x 2 x 2 x 2 - 9 x 3 x 3 - 36 = 8 x 2 x 2 x 2 x 2 - 27 x 3 - 36 = 16 x 2 x 2 x 2 - 81 - 36 = 32 x 2 x 2 - 81 - 36 = 64 x 2 - 81 - 36 = 128- 81 - 36= 47 - 36 = 11
f) 3⁴+2⁵-7²= 3 x 3 x 3 x 3 + 2 x 2 x 2 x 2 x 2 - 7 x 7 = 9 x 3 x 3 + 4 x 2 x 2 x 2 - 49 = 27 x 3 + 8 x 2 x 2 - 49 = 81 + 16 x 2 - 49 = 81 + 32 - 49= 113 - 49 = 64