\(a,3^3\cdot750-3^3\cdot73\)
\(=3^3\cdot\left(75-73\right)\)
\(=27\cdot2\)
\(=54\)
\(b,375:\left\{32-\left[4+\left(5\cdot3^2-42\right)\right]\right\}-14\)
\(=375:\left\{32-\left[4+\left(5\cdot9-42\right)\right]\right\}-14\)
\(=375:\left\{32-\left[4+\left(45-42\right)\right]\right\}-14\)
\(=375:\left[32-\left(4+3\right)\right]-14\)
\(=375:\left(32-7\right)-14\)
\(=375:25-14\)
\(=15-14\)
\(=1\)
\(c,12:\left\{400:\left[500-\left(125+25\cdot7\right)\right]\right\}\)
\(=12:\left\{400:\left[500-\left(125+175\right)\right]\right\}\)
\(=12:\left[400:\left(500-300\right)\right]\)
\(=12:\left(400:200\right)\)
\(=12:2\)
\(=6\)
\(d,\left(28\cdot27^{2020}-27^{2020}\right):27^{2021}\)
\(=\dfrac{27^{2020}\left(28-1\right)}{27^{2021}}\)
\(=\dfrac{28-1}{27}\)
\(=\dfrac{27}{27}\)
\(=1\)
#\(Toru\)
a) 3³.75 - 3³.73
= 3³.(75 - 73)
= 27.2
= 54
b) 375 : {32 - [4 + (5.3² - 42)]} - 14
= 375 : {32 - [4 + (5.9 - 42)]} - 14
= 375 : [32 - (4 + 3)] - 14
= 375 : (32 - 7) - 14
= 375 : 25 - 14
= 15 - 14
= 1
c) 12 : {400 : [500 - (125 + 25.7)]}
= 12 : {400 : [500 - (125 + 175)]}
= 12 : [400 : (500 - 300)]
= 12 : (400 : 200)
= 12 : 2
= 6
d) (28.27²⁰²⁰ - 27²⁰²⁰) : 27²⁰²¹
= 27²⁰²⁰.(28 - 1) : 27²⁰²¹
= 27²⁰²⁰ . 27 : 27²⁰²¹
= 27²⁰²¹ : 27²⁰²¹
= 1
