[tex]\bf a) ~\big(5^2-2^5:2\big):3-1^{2019}[/tex]
[tex]\bf \big(25-2^{5-1}\big):3-1=\big(25-2^{4}\big):3-1=[/tex]
[tex]\bf\big(25-16\big):3-1=9:3-1 = 3-1 = \red{\underline{~2~}}[/tex]
[tex]\bf b) ~\big(3^2\cdot2^6-2^5\cdot 6\big):12-2^{5}[/tex]
[tex]\bf 2^5\cdot \big(3^2\cdot2^{6-5}-2^{5-5}\cdot 6\big):12-2^{5} =[/tex]
[tex]\bf 2^5\cdot \big(3^2\cdot2^{1}-2^{0}\cdot 6\big):12-2^{5} =[/tex]
[tex]\bf 2^5\cdot \big(9\cdot2-1\cdot 6\big):12-2^{5} =[/tex]
[tex]\bf 2^5\cdot \big(18-6\big):12-2^{5} =[/tex]
[tex]\bf 2^5\cdot 12:12-2^{5} =[/tex]
[tex]\bf 2^5\cdot 1-2^{5} =[/tex]
[tex]\bf 2^5-2^{5} =\purple{\underline{~0~}}[/tex]
[tex]\bf c) ~\big(7^4-7^3\big):\big(7^2-7^1\big)-2^{3}\cdot 5 =[/tex]
[tex]\bf 7^3\cdot \big(7^{4-3}-7^{3-3}\big):\big(49-7\big)-8\cdot 5 =[/tex]
[tex]\bf 7^3\cdot \big(7^{1}-7^{0}\big):42-40 =[/tex]
[tex]\bf 7^3\cdot \big(7-1\big):42-40 =[/tex]
[tex]\bf 343\cdot 6:42-40 =[/tex]
[tex]\bf 2058:42-40 =49-40=[/tex]
[tex]\bf \pink{\underline{~9~}}[/tex]
[tex]==pav38==[/tex]
