Esercizi svolti per il libro Matematica.blu: Algebra, Geometria, Statistica, Vol. 1
Soluzione
{[(8+4):4−1]2−1}3−{(64:16−1)⋅[33⋅4:34⋅3]5}2\{[(8+4):4-1]^2-1\}^3-\{(64:16-1)\cdot[3^{3\cdot4}:3^{4\cdot3}]^5\}^2{[(8+4):4−1]2−1}3−{(64:16−1)⋅[33⋅4:34⋅3]5}2 === {[12:4−1]2−1}3−{(4−1)⋅[312:312]5}2\{[12:4-1]^2-1\}^3-\{(4-1)\cdot[3^{12}:3^{12}]^5\}^2{[12:4−1]2−1}3−{(4−1)⋅[312:312]5}2 === {[3−1]2−1}3−{3⋅[312−12]5}2\{[3-1]^2-1\}^3-\{3\cdot[3^{12-12}]^5\}^2{[3−1]2−1}3−{3⋅[312−12]5}2 === {22−1}3−{3⋅[30]5}2\{2^2-1\}^3-\{3\cdot[3^0]^5\}^2{22−1}3−{3⋅[30]5}2 === {4−1}3−{3⋅15}2\{4-1\}^3-\{3\cdot1^5\}^2{4−1}3−{3⋅15}2 === 33−323^3-3^233−32 === 27−927-927−9 === 181818