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
