Question

Sa se rezolve + explicati cum ati facut
$(-10^{12} ): (100^{5} )+ (49^{5}): 343^{3} + (10^{2} )$
$[ 5^{7} * (-5^{6}) : -(5^{12} ) ]^{10} : [(-5^{2} ]^{3} - (-5^{2})$

Answer 1

100^5=(10^2)^5=10^10
49^5=(7^2)^5=7^10
343^3=(7^3)^3=7^9

a)  -10^12:10^10+7^10:7^9+100=-10^2+7+10^2=7

5^7 * (-5^6)=-5^(6+7)= -5^13
-(5^13): -(5^12)=5^(13-12)=5
5^10:[ (-5^6+5^2]=5^10: [ -5^2(5^4-1)]=-5^(10-2)*1/624=-5^8/624