Question

Efectuati: a) [(7/375 - 1/75 +1/225).45/22]:(5/4)la a doua) ; b)[(1/2)la a doua) : (1/2)la a treia)]Totul la a cincea. c: {[(7/45+7/60-2/15):5/144-3 1/5(intregi) ].65/8}.4 d) (27/8)totul la 70) : (9/4)totul la 104)

Answer 1

a) [(7/375 - 1/75 +1/225)×45/22]:(5/4)² =
=[(21-15+5)/1125×45/22]:(5/4)² =
=1/50 ×16/25=
=1/25 ×8/25=8/625

b)[(1/2)² : (1/2)³]⁵ =
=[(1/2)⁻¹]⁵ =
=(2¹)⁵ =2⁵=32

c) {[(7/45+7/60-2/15):5/144-3 1/5 ]×65/8}×4 =
={[(28+21-24)/180  ×144/5-16/5 ]×65/8}×4 =
=[(25/180  ×144/5-16/5 )×65/8]×4 =
=[(144/36 -16/5 )×65/8]×4 =
=[(4 -16/5 )×65/8]×4 =
=[(20 -16)/5 ×65/8]×4 =
=(4/5 ×65/8)×4 =
=13/2×4 =
=13 ×2=26

d) (27/8)⁷⁰ : (9/4)¹⁰⁴  =[(3/2)³]⁷⁰ : [(3/2)²]¹⁰⁴  =(3/2)²¹⁰ : (3/2)²⁰⁸  =(3/2)²=9/4