Question

va rooog dau 15 p
urgent​

Answer 1

a=3⁷* 5¹⁶ * 7³

b=4¹⁰ *3⁸ *7¹⁴

a) a *b=3⁷* 5¹⁶ * 7³ * 4¹⁰ *3⁸ *7¹⁴

Pentru a afla numarul de 0:

4¹⁰ *5¹⁶ =  2²⁰ *5¹⁶=2⁴*2¹⁶ *5¹⁶=2⁴* 10¹⁶  ⇒ nr. va avea 16 de "0".

b)scoatem din operatie: 2¹⁶ * 5¹⁶

a=3⁷ * 7³

b=2⁴ *3⁸ *7¹⁴

a*b= 2⁴*3¹⁵*7¹⁷

U(2⁴*3¹⁵*7¹⁷)= U (2⁴*3¹² *3³ *7¹⁶*7)=  U [ (2¹)⁴ * (3⁴)³*3³ *(7⁴)⁴*7)]=

=U (2* 27*81* 2401*7)= U(2*7*1*1*7)=U(98)= U(8).

c)

a=3⁷* 5¹⁶ * 7³= (3⁷*5⁷*5⁷)*(5²*7²)*7=75⁷ *35²*7

b=4¹⁰ *3⁸ *7¹⁴= (4⁷*3⁷*7⁷)*(4³*7³)*3*7⁴=87⁷* 28³*7³*7*3=87⁷*196³*21

⇒

a < b