Giải thích các bước giải:

Bài 1:

a.$9:(\dfrac25\cdot \dfrac12)^2 =9:(\dfrac15)^2=9:\dfrac1{25}=9\cdot 25=225$

b.$(2+\dfrac12-\dfrac14)^2:(3+\dfrac12-\dfrac13)=(\dfrac94)^2:\dfrac{19}6=\dfrac{81}{16}\cdot \dfrac6{19}=\dfrac{243}{152}$

c.$(5-\dfrac14)^2:(\dfrac15-\dfrac12+1)=(\dfrac{19}4)^2:\dfrac7{10}=\dfrac{361}{16}\cdot\dfrac{10}7=\dfrac{1805}{56}$

Bài 2:

a.$7^{12}\cdot 2^6=(7^2)^6\cdot 2^6=(7^2\cdot 2)^6=98^6$

b.$6^{44}:36^6=6^{44}:(6^2)^6=6^{44}:6^{12}=6^{44-12}=6^{32}$

c.$625^5:4^{10}=(25^2)^5:4^{10}=25^{10}:4^{10}=(\dfrac{25}4)^{10}=((\dfrac52)^2)^{10}=(\dfrac52)^{20}$

d.$27^5:32^3=(3^3)^5:(2^5)^3=3^{15}:2^{15}=(\dfrac32)^{15}$