a) `123 - 27 + 27 + 13 - 123`

`= (123 - 123) + (27 - 27) + 13`

`= 0 + 0 + 13`

`= 13`

`---`

b) `175 + 25 + 13 + 15 - 175 - 25`

`= (175-175)+(25-25)+25+13`

`=0+0+25+13`

`=28`

`---`

c) \(53\times39+47\times39+53\times21+47\times21\)

\(=\text{[}\left(53+47\right)\times39]+\left[\left(53+47\right)\times21\right]\)

\(=\left(100\times39\right)+\left(100\times21\right)\)

\(=3900+2100\)

`=6000`

`---`

d) \(49\times35+49\times16-49\times61\)

`=` \(49\times\left(35+16-61\right)\)

`=` \(49\times\left(-10\right)\)

`=-490`

`16/27xx13/29+16/27xx14/29`

`=16/27xx(13/29+14/29)`

`=16/27xx27/29`

`=16/29`

`48/49+15/39-18/49+15/39`

`=(48/49-18/49)+(15/39+15/39)`

`=30/49+30/39`

`=880/637`

a: \(=68\cdot72\cdot49\cdot\left[324-324\right]=0\)

b: \(=\left(1250-1250\right)\cdot\left(1+...+100\right)=0\)

\(a,\left(68\times72\times49\right)\times\left(27\times12-9\times36\right)=\left(68\times72\times49\right)\times0=0\\ b,\left(25\times50-125\times10\right)\times\left(1+2+...+100\right)=0\times\left(1+2+...+100\right)=0\)

a, ( 68 × 72 × 49 ) × ( 27 × 12 − 9 × 36 ) = ( 68 × 72 × 49 ) × 0 =

b, ( 25 × 50 − 125 × 10 ) × ( 1 + 2 + ... + 100 ) = 0 × ( 1 + 2 + ... + 100 ) = 0

a: \(27^{2-x}< =9\)

=>\(\left(3^3\right)^{2-x}< =3^2\)

=>\(3^{6-3x}< =3^2\)

=>6-3x<=2

=>-3x<=-4

=>\(x>=\dfrac{4}{3}\)

b: \(7^{3-x}< 49\)

=>\(7^{3-x}< 7^2\)

=>3-x<2

=>-x<2-3=-1

=>x>1

c: \(27^{3-x}>9\)

=>\(\left(3^3\right)^{3-x}>3^2\)

=>\(3^{9-3x}>3^2\)

=>9-3x>2

=>-3x>-7

=>\(x< \dfrac{7}{3}\)

d: \(2^{3-x}< 2^3\)

=>3-x<3

=>-x<0

=>x>0

e: \(27^{3-x^2}< 27^{x+1}\)

=>\(3-x^2< x+1\)

=>\(-x^2-x+2< 0\)

=>\(x^2+x-2>0\)

=>(x+2)(x-1)>0

=>\(\left[{}\begin{matrix}x>1\\x< -2\end{matrix}\right.\)

\(a,=\left(2x-7\right)^2=\left(2.4-7\right)^2=1\)

\(b,\left(x-3\right)^3=\left(5-3\right)^3=8\)

a)   \(4x^2-28x+49\)

\(=\left(2x-7\right)^2\)

\(=\left(2.4-7\right)^2=1\)

b)  \(x^3-9x^2+27x-27\)

\(=\left(x-3\right)^3\)

\(=\left(5-3\right)^3=8\)

a)8/27
b)24/7
c)47468

a) 34/29x13/17-10/27=26/29-10/27=412/783
b) 2+4/7:2/5=2+10/7=24/7
c) 968x49+35460:985=47432+36=47468

a) 34/29x13/17-10/27=26/29-10/27=412/783
b) 2+4/7:2/5=2+10/7=24/7
c) 968x49+35460:985=47432+36=47468

Ta có: \(13\cdot\left(-47\right)-53\cdot13\)

\(=13\cdot\left(-47-53\right)\)

\(=13\cdot\left(-100\right)=-1300\)

Ta có: \(27\cdot\left(-67\right)+33\cdot\left(-27\right)\)

\(=27\cdot\left(-67\right)-33\cdot27\)

\(=27\left(-67-33\right)\)

\(=27\cdot\left(-100\right)=-2700\)

Ta có: \(-49\cdot65+36\cdot\left(-49\right)+49\)

\(=-49\cdot65+\left(-49\right)\cdot36+\left(-49\right)\cdot\left(-1\right)\)

\(=-49\cdot\left(65+36-1\right)\)

\(=-49\cdot100=-4900\)

Ta có: \(136\cdot\left(-47\right)+36\cdot47\)

\(=\left(-136\right)\cdot47+36\cdot47\)

\(=47\cdot\left(-136+36\right)\)

\(=47\cdot\left(-100\right)=-4700\)

Ta có: \(\left(-48\right)\cdot72+36\cdot\left(-304\right)\)

\(=-96\cdot36+36\cdot\left(-304\right)\)

\(=36\cdot\left(-96-304\right)\)

\(=36\cdot\left(-400\right)=-14400\)

Ta có:

49 x 62 + 38 x 73 + 31 x 51 x 2 + 19 x 27 x 2

= 49 x 62 + 38 x 73 + 62 x 51 + 38 x 27

= 62 x ( 49 + 51 ) + 38 x ( 73 + 27 )

= 62 x 100 + 38 x 100

= ( 38 + 62 ) x 100

= 100 x 100

= 10 000

49x62+38x73+31x51x2+19x27x2

= 3038+2774+3162+1026

=10000

k cho mk nha bn!                    :)

tính nhanh thủy ạ

Lời giải:

Gọi biểu thức là A.

\(A=256.\frac{1}{8}+\frac{1}{49^2}.7^3+\frac{1}{36^2}.\frac{1}{8^2}.27\\ =32+\frac{1}{7}+\frac{1}{3072}=32\frac{3079}{21504}\)