Răspuns:
Explicație pas cu pas:
Scrie mai simplu folosind regulile de calcul cu puteri:
a) 2^5·2^7:2^10=2^(5+7):2^10=2^12:2^10=2^2=4
b) (5^2)^4:5^7·5=5^8:5^7·5=5·5=5^2=25
c) (2/5)^27:(2/5)^25·(2/5)^(-3)= (2/5)^(27-25)·(2/5)^(-3)= (2/5)^2·(2/5)^(-3)= (2/5)^(2-3)=(2/5)^(-1)=1/(2/5)=5/2
d) [(5/4)^4]^3:[(5/4)^3]^4·5/4=(5/4)^12:(5/4)^12·5/4=(5/4)^(12-12)·5/4=(5/4)^0·5/4=1·5/4=5/4
e) (-3,5)^17:(-3,5)^15·(-3,5)=(-3,5)^(17-15)·(-3,5)=(-3,5)^2·(-3,5)=(-3,5)^(2+1)=(-3,5)^3
f) (3/2)^(-34):(3/2)^(-32)·(3/2)=(3/2)^(-34+32)·(3/2)=(3/2)^(-2)·(3/2)=(3/2)^(-2+1)=(3/2)^(-1)=1/(3/2)=2/3
g) [(2/3)^7·(5/7)^3]:[(2/3)^7:(5/7)^2]= (2/3)^7:(2/3)^7·(5/7)^3:(5/7)^2]=
1·(5/7)= 5/7
