Question

Va rog cat de repede se poate

Answer 1

4.

a) 650≤a≤3250

a÷67=c rest 31

a=67c+31

650≤67c+31≤3250 |-31

619≤67c≤3219 |÷67

9,23≤c≤48,04

c∈N => c={10,11,12,...,48}

a= {67×10+31; 67×11+31,...,67×48+31}

=> Card a = Card c = 39

b) U(1562⁵⁸⁰) = U(2⁵⁸⁰) = U(2^4n) = 6

U(3²²²) = U(3^4n+2) = 9

U(26³⁴⁵) = U(6^n) = 6

U(a) = U(1562⁵⁸⁰+3²²²+26³⁴⁵) = U(6+9+6) = U(21) = 1

5. [5¹⁷¹÷5¹⁷⁰-3)⁹⁸+2¹⁰⁵÷(2³×2⁴)+(2¹¹)⁹]÷2⁹⁷

= [(5-3)⁹⁸+2¹⁰⁵÷2⁷+2⁹⁹]÷2⁹⁷

= (2⁹⁸+2⁹⁸+2⁹⁹)÷2⁹⁷

= (2⁹⁹+2⁹⁹)÷2⁹⁷

= 2¹⁰⁰÷2⁹⁷

= 2³ = 8