Question

Calculati a) [(9/32-5/24-7/36):(-7/24)+0,(6)]:(-2,1(6))-0,41(6)
b) [(-1/2)La puterea a 4]la puterea 18 -[(-1/2)la puterea 12]la puterea 6+(-1/4)la puterea 40-(-1/2)la puterea 80.

Answer 1

a) [(9/32-5/24-7/36):(-7/24)+0,(6)]:(-2,1(6))-0,41(6) =
= [(9×9-5×12-7×8)/288:(-7/24)+6/9]:[-(216-21/90)-(416-41)/900] =
= [(81-60-56)/288:(-7/24)+2/3]:[-195/90-375/900] =
= [-35/288 ×(-24/7)+2/3]:(-195/90-375/900) =
=(-5/12+2/3):(-1950-375)/900=
=(-5+8)/12:(-2325/900)=
=3/12 :(-31/12)=
=-3/31

b) [(-1/2)⁴]¹⁸ -[(-1/2)¹²]⁶+(-1/4)⁴⁰-(-1/2)⁸⁰ =
=(1/2)⁷² -(1/2)⁷²+(-1/2²)⁴⁰-(-1/2)⁸⁰ =
=(1/2)⁸⁰-(1/2)⁸⁰ =0