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Calculati folosind regulile de calcule cu puteri !!!!!!
[16 la 12 :8 la 6 +e la a patra totul la 5 +6 la 23 : 6la 13] : (4 la 5 * 9 la 5 +2 la 11 * 2 la 19 +9 la 10)


Răspuns :

[16¹² :8⁶ +(3⁴)⁵ +6²³ : 6¹³] : (4⁵ * 9⁵ +2¹¹ * 2¹⁹ +9¹⁰)=
=(
2⁴⁸ :2¹⁸ +3²⁰ +2¹⁰ *3¹⁰) : (2¹⁰ * 3¹⁰ +2¹¹ * 2¹⁹ +3²⁰) =
=(2³⁰ +3²⁰ +2¹⁰ *3¹⁰) : (2¹⁰ * 3¹⁰ +2³⁰ +3²⁰) = 1

[tex][16^1^2:8^6+(3^4)^5+6^2^3:6^1^3]:(4^5 \cdot 9^5+2^1^1 \cdot 2^1^9+9^1^0)= \\ \\ =[(2^4)^1^2:(2^3)^6+3^2^0+6^{23-13}]:[(2^2)^5 \cdot (3^2)^5+2^1^1 \cdot 2^1^9+9^1^0]= \\ \\ =(2^4^8:2^1^8+3^2^0+6^1^0):(2^1^0 \cdot 3^1^0+2^{11+19}+9^1^0)= \\ \\ =(2^{48-18}+3^2^0+6^1^0):[2^1^0 \cdot 3^1^0+2^3^0+(3^2)^1^0]= \\ \\ =(2^3^0+3^2^0+6^1^0):[(2 \cdot 3)^1^0+2^3^0+3^2^0]= \\ \\ =(2^3^0+3^2^0+6^1^0):(6^1^0+2^3^0+3^2^0)=1[/tex]