{[83 - (4^2.10 + 2^2.5):18]+27}.3^2 + 100 = [83- 10 + 27].3^2 = 100.9 = 900

a) \(25.8^3-23.8^3=8^3\left(25-23\right)\)

                                 \(=8^3.2\)

                                  \(=2^9.2=2^{10}\)  

b) \(5^4-2.5^3=5^3.5-2.5^3\)

                        \(=5^3\left(5-2\right)\)

                        \(=5^3.3=375\)

c)\(2.4^3-4^3.7-6.4^3=4^3\left(2-7-6\right)\)

                                       \(=4^3.-11=-704\)

d)\(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right].10^3\)

\(=3^2.10^3-\left[13^2-2^2\left(5^2+15\right)\right].10^3\)

\(=3^2.10^3-\left[13^2-2^2.40\right].10^3\)

\(=10^3\left[3^2-9\right]\)

\(=0\)

Bài 1 :

a) \(25.8^3-23.8^3\)

\(=8^3.\left(25-23\right)\)

\(=512.2=1024\)

b) \(5^4-2.5^3\)

\(=5^3.5-2.5^3\)

\(=5^3\left(5-2\right)\)

\(=125.3\)

\(=375\)

c) \(2.4^3-4^3.7-6.4^3\)

\(=4^3.\left(2-7-6\right)\)

\(=64.\left(-11\right)=-704\)

d) \(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right]\)

\(=9.1000-\left[169-\left(25.4+4.15\right)\right]\)

\(=9000-\left[169-4\left(25+15\right)\right]\)

\(=9000-\left[169-4.40\right]\)

\(=9000-\left[169-160\right]\)

\(=9000-9=8991\)

a.\(25.8^3-23.8^3=8^3.\left(25-23\right)=512.2=1024\)

b. \(5^4-2.5^3=5^3.\left(5-2\right)=125.3=375\)

c. \(2.4^3-4^3.7-6.4^3=4^3.\left(2-7-6\right)\)\(=64.\left(-11\right)=-704\)

d. \(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right]=\)\(3^2.10^3-\left[13^2-\left(100+60\right)\right]\) \(=3^2.10^3-\left(13^2-160\right)=9000-9=8991\)

\(76-\left\{2\cdot\left[2\cdot5^2-\left(31-2\cdot3\right)\right]\right\}\)

\(=76-\left\{2\cdot\left[2\cdot25-\left(31-6\right)\right]\right\}\)

\(=75-\left[2\cdot\left(50-25\right)\right]\)

\(=76-\left(2\cdot25\right)\)

\(=76-50\)

\(=26\)

____________________

\(6^2\cdot10:\left\{780:\left[10^3-\left(2\cdot5^3+35\cdot14\right)\right]\right\}\)

\(=36\cdot10:\left\{780:\left[1000-\left(2\cdot125+490\right)\right]\right\}\)

\(=360:\left\{780:\left[1000-\left(250+490\right)\right]\right\}\)

\(=360:\left[780:\left(1000-740\right)\right]\)

\(=360:\left(780:260\right)\)

\(=360:3\)

\(=120\)

a: =76-{2*[2*25-31+6]}

=76-{2*[50-31+6]}

=76-2*25

=76-50=26

b: \(=360:\left\{\dfrac{780}{1000-2\cdot125-490}\right\}\)

\(=360:\dfrac{780}{260}\)

=360/3=120

a: \(2^2\cdot5-\dfrac{\left(1^{10}+8\right)}{3^2}\)

\(=4\cdot5-\dfrac{1+8}{3}\)

=20-3

=17

b: \(5^8:5^6+4\left(3^2-1\right)\)

\(=5^2+4\left(9-1\right)\)

=25+4*8

=25+32

=57

c: \(400-\left\{36-20:\left[3^3-\left(8-3\right)\right]\right\}\)

\(=400-36+20:\left[27-5\right]\)

\(=364+\dfrac{20}{22}\)

\(=364+\dfrac{10}{11}=\dfrac{4014}{11}\)

A) 2².5 - (1¹⁰ + 8) : 3²

= 4.5 - (1 + 8) : 9

= 20 - 9 : 9

= 20 - 1

= 19

B) 5⁸ : 5⁶ + 4.(3² - 1)

= 5² + 4.(9 - 1)

= 25 + 4.8

= 25 + 32

= 57

C) 400 - {36 - 20 : [3³ - (8 - 3)]}

= 400 - [36 - 20 : (27 - 5)]

= 400 -(36 - 20 : 22)

= 400 - (36 - 10/11)

= 400 - 386/11

= 4014/11