`@` `\text {Ans}`

`\downarrow`

`5^6 \div 5^3 + 2^2*2^3`

`= 5^3 + 2^5`

`= 125+32`

`=``157`

`19^7 \div 19^5 + 4*4^2`

`= 19^(7-5) + 4^(1+2)`

`= 19^2 + 4^3`

`= 361 + 64`

`=``425`

\(2^5\cdot7+3^{2019}\div3^{2018}?\) 

`= 224 + 3`

`= 227`

`17*3^2 - 5^15 \div 5^13 + 39^0`

`= 153 - 5^2 + 1`

`= 153 - 125 + 1`

`= 153 - 124`

`=29`

\(S=\dfrac{2^2}{1.2}+\dfrac{2^2}{2.3}+\dfrac{2^2}{3.4}+...+\dfrac{2^2}{2022.2023}\)

\(S=2^2.\left(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{2022.2023}\right)\)

\(S=2^2.\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2022}-\dfrac{1}{2023}\right)\)

\(S=2^2.\left(\dfrac{1}{1}-\dfrac{1}{2023}\right)\)

\(S=2^2.\dfrac{2022}{2023}\)

\(S=\dfrac{2^2.2022}{2023}=\dfrac{8088}{2023}\)

\(B=1+2+2^2+...+2^6.\)

\(=>4B=2^2+2^3+...+2^8\)\(\left(1\right)\)

\(A=2^2+2^3+...+2^8\)\(\left(2\right)\)

Từ (1) và (2) 

=> A = 4B

S = 22 + 42 + 62 + ... + 202

   = (2.1)2 + (2.2)2 + (2.3)2 ... (2.10)2

   = 22.12 + 22.22 + 22.32 + ... + 22.102

   = 22 (12 + 22 + ... + 102 )

   = 4 . 385

   = 1540

= (1x2)^2 (2x2)^2 (3x2)^2 (4x2)^2 ..... (9x2)^2 (10x2)^2 
= 1^2 x 2^2 2^2 x 2^2 3^2 x 2^2 4^2 x 2^2 ..... 9^2 x 2^2 10^2 x 2^2 
= (1^2 2^2 3^2 4^2 ..... 9^2 10^2) x 2^2 
= 385 x 2^2 = 385 x 4 = 1540

a ) ( 13 - 145 + 49 ) - ( 13 + 49 )

= 13 - 145 + 49 - 13 - 49

= ( 13 - 13 ) - 145 + ( 49 - 49 )

= 0 - 145 + 0

= - 145 

b) 25 . 2² . ( 15 - 18 ) + ( 12 - 19 + 10 )

= 25 . 4 . ( -3 ) + 7

= 100 . [ ( -3 ) + 7 ]

= 100 . 4

= 400

a ) ( 13 - 145 + 49 ) - ( 13 + 49 )

= 13 - 145 + 49 - 13 - 49

= ( 13 - 13 ) - 145 + ( 49 - 49 )

= 0 - 145 + 0

= - 145 

( 13 - 145 + 49 ) - ( 13 + 49 )

= 13 - 145 + 49 - 13 - 49

= 13 - 13 + 49 - 49 - 145

= 0 + 0 - 145

= - 145

=16*56-16:4

=896-4

=892

\(4^2\cdot56-16:2^2\)

\(=16\cdot56-2^4:2^2\)

\(=896-2^2\)

\(=892\)