Question

Efectuati (3^31+6•32^12-5•16^15):(8^21-5•8^20)-1
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Answer 1

[tex](4^{31}+6\cdot(2^5)^{12}-5\cdot(2^4)^{15}):((2^3)^{21}-5\cdot(2^3)^{20})-1=\\ (2^{62}+6\cdot2^{60}-5\cdot2^{60}):(2^{63}-5\cdot2^{60})-1=\\ (2^{62}+2^{60}):(8\cdot2^{60}-5\cdot{2^{60}})-1=\\ (2^{62}+2^{60}):(3\cdot2^{60})-1\\=
(4\cdot2^{60}+2^{60}):(3\cdot2^{60})-1=\\
=(5\cdot2^{60}):(3\cdot2^{60})-1==\frac{5}{3}-1=\frac{2}{3}[/tex]