Question

daca a=1440 si b=3780 , aratati ca :
a) 21a = 8b
b) ab=2⁷×3⁵×5²×7 ​

Answer 1

Explicație pas cu pas:

a) 21a= 21*1440= 30.240

8b= 8*3780= 30.240

rezulta ca 21a= 8b

b) a=12^2*2*5={[(2^2)*3]^2}*2*5= (2^4)*(3^2)*2*5= (2^5)"(3^2)*5

b= [(3^3)*7*2]*2*5= (2^2)*5*(3^3)*7

ab= (2^5)"(3^2)*5 * (2^2)*5*(3^3)*7= (2^7)*(3^5)*(5^2)*7

unde ^ inseamna 'la puterea'