a) 27.62 +27.38 = 27. ( 62 + 38 ) 

                           = 27 . 100

                            = 2700 .

b) 2.3^2 + 4.3 ^3 = 2.3^2 + 2. 2. 3^3 

                            = 2 . ( 3 ^2 + 2 . 3 ^3 )

                             = 2 . ( 9 + 54 )

                              = 2 . 63 = 126 .

c ) 1972 - ( 368 + 972 ) = 1972 - 368 - 972

                                      = 1000 - 368

                                      = 632

d ) Số số hạng là : 

      ( 99 - 1 ) : 2 +1 = 50 ( số )

    Tổng trên bằng :

       ( 1 + 99 ) x 50 : 2 =  2475 .

Vậy : 1 + 3 + 5 + ... + 99 = 2475 .

cảm ơn pạn nhìu nhoa...

g: \(\left(-3\right)^4\cdot10=81\cdot10=810\)

i: \(\left(-2\right)\cdot\left(-2\right)\cdot\left(-4\right)\cdot\left(-4\right)\cdot\left(-4\right)\)

\(=-2\cdot2\cdot4\cdot4\cdot4\)

\(=-2^2\cdot2^2\cdot2^2\cdot2^2=-2^8=-256\)

l: \(26\cdot\left(-125\right)-125\cdot\left(-36\right)\)

\(=125\cdot\left(-26\right)+125\cdot36\)

\(=125\left(-26+36\right)\)

\(=125\cdot10=1250\)

n: \(\left(-37\right)\cdot84+37\cdot\left(-16\right)\)

\(=37\cdot\left(-84\right)+37\cdot\left(-16\right)\)

\(=37\left(-84-16\right)=37\cdot\left(-100\right)=-3700\)

\(72.125.3\)

\(=9.8.125.3\)

\(=\left(8.125\right).\left(9.3\right)\)

\(=1000.27\)

\(=27000\)

27000

1 4 + − 5 13 + 2 11 + − 8 13 + 3 4 = 1 4 + − 5 13 + 2 11 + − 8 13 + 3 4 = 1 4 + 3 4 + − 5 13 + − 8 13 + 2 11 = 1 + ( − 1 ) + 2 11 = 2 11

21 31 + − 16 7 + 44 53 + 10 31 + 9 53 = ( 21 31 + 10 31 ) + ( 44 53 + 9 53 ) + − 16 7 = 1 + 1 + − 16 7 = − 2 7

123 x 456456 - 456 x 123123

= 123 x 456 x 1001 - 456 x 123 x 1001

= 0

Ủng hộ mk nha ^_-

123×456456 - 456×123123

=123 x 456 x 1001 - 123 x 456 x 1001 

=0

1) A=\(\dfrac{7}{1.3}+\dfrac{7}{3.5}+\dfrac{7}{5.7}+...+\dfrac{7}{99.101}\)=\(\dfrac{7.2}{1.3.2}+\dfrac{7.2}{3.5.2}+\dfrac{7.2}{5.7.2}+...+\dfrac{7.2}{99.101.2}\)=

\(\dfrac{7}{2}\left(\text{​​}\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}\right)\)=

\(\dfrac{7}{2}\left(\text{​​}1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}...+\dfrac{1}{99}-\dfrac{1}{101}\right)\)=

\(\dfrac{7}{2}\left(\text{​​}1-\dfrac{1}{101}\right)\)=\(\dfrac{7}{2}.\dfrac{100}{101}=\dfrac{350}{101}\)

2) A=\(\dfrac{1}{2}+\dfrac{2}{2.4}+\dfrac{3}{4.7}+\dfrac{4}{7.11}+\dfrac{5}{11.16}\)=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{16}\)

=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{16}\)=\(1-\dfrac{1}{16}=\dfrac{15}{16}\)

34(66-5)-66(34+5)=34.66-34.5-34.66-66.5=(34.66-34.66)-5(34+66)=-500

\(=49\times\left(55+48-3\right)=49\times100=4900\)

= 49 x (55 + 48 - 3)

= 49 x 100

= 4900