\(35\cdot34+70\cdot38+65\cdot75+65\cdot35\)

\(=35\cdot34+35\cdot76+65\cdot\left(75+35\right)\)

\(=35\cdot\left(34+76\right)+65\cdot110\)

\(=35\cdot110+65\cdot110\)

\(=110\cdot\left(65+35\right)\)

\(=110\cdot100=11000\)

35 . 34 + 70 . 38 + 65 . 75 + 65 . 35

= 35 . 34 + 35 . 76 + 65 . 75 + 65 . 35

= 35 . (34 + 76) + 65 . (75 + 35)

= 35 . 110 + 65 . 110

= 110 . (35 + 65)

= 110 . 100

= 11000

~Std well~

Ta có : 

\(\frac{x-1}{27}+\frac{x-2}{26}+\frac{x-3}{25}+\frac{x-4}{24}=4\)

\(\Leftrightarrow\)\(\left(\frac{x-1}{27}-1\right)+\left(\frac{x-2}{26}-1\right)+\left(\frac{x-3}{25}-1\right)+\left(\frac{x-4}{24}-1\right)=4-4\) ( trừ 2 vế cho 4 ) 

\(\Leftrightarrow\)\(\frac{x-28}{27}+\frac{x-28}{26}+\frac{x-28}{25}+\frac{x-28}{24}=0\)

\(\Leftrightarrow\)\(\left(x-28\right)\left(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}\right)=0\)

Vì \(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}\ne0\)

Nên \(x-28=0\)

\(\Rightarrow\)\(x=28\)

Vậy \(x=28\)

Chúc bạn học tốt ~ 

\(x-\frac{1}{27}+x-\frac{2}{26}+x-\frac{3}{25}+x-\frac{4}{24}=4\)

\(\left(x+x+x+x\right)-\left(\frac{1}{27}+\frac{2}{26}+\frac{3}{25}+\frac{4}{24}\right)=4\)

\(4x-\frac{7031}{17550}=4\)

\(4x=4+\frac{7031}{17550}\)

\(x=\frac{4+\frac{7031}{17550}}{4}=1+\frac{\frac{7031}{17550}}{4}\)

\(x=1+\frac{7031}{70200}\)

.........................................................................................

1) (-37) + 14 + 26 + 37

= [(-37) + 37] + 14 + 26

= 0 + 40

= 40

2) (-24) + 6 + 10 + 24

= [(-24) + 24] + 6 + 10

= 0 + 16

= 16

3) 15 + 23 + (-25) + (-23)

= 15 + (-25) + [(-23) + 23]

= -10 + 0

= -10

4) 60 + 33 + (-50) + (-33)

= 60 + (-50) + [(-33) + 33]

= 10 + 0

= 10

a: =-100-100=-200

b: =-20+20=0

a,(-15)-23+(-85)-77=[(-15)+(-85)]-(23+77)=(-100)-100=-200
b,(-24) + 4 + (-6) + 26 =[(-24)+(-6)]+(4+26)=(-30)+30=0
c, 34 + 35 + 36 + 37 - 14 - 15 - 16 - 17 =(34-14)+(35-15)+(36-16)+(37-17)=20+20+20+20=80

3.4²+(5⁷:5⁶)-(2.2⁴)

=3.4²+5^7-6-2⁴⁺¹

=3.4²+5¹-2⁵

=(3.4²)+5-32

=48+5-32

=53-32

=21

để làm gì mà cần thế

Ở câu a) số mũ lúc nào cug dương mà bạn ( 45^-10 = 45¹⁰). Nếu số mũ là dương thì:

            a)\(\frac{45^{10}.5^{20}}{75^{15}}\)

        = \(\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}\)

        = \(\frac{3^{20}.5^{10}.5^{20}}{3^{15}.5^{30}}\)

         = \(\frac{3^{20}.5^{30}}{3^{15}.5^{30}}\)

         = \(\frac{3^5.1}{1.1}\)

         = \(\frac{243}{1}\)

         = 243

      b)\(\frac{2^{15}.9^4}{6^6.8^2}\)

          = \(\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^2}\)

          = \(\frac{2^{15}.3^8}{2^6.3^6.2^6}\)

          = \(\frac{2^{15}.3^8}{2^{12}.3^6}\)

          = \(\frac{2^3.3^2}{1.1}\)

          = \(\frac{8.9}{1}\)

          = \(\frac{72}{1}\)

          = 72

cảm ơn bn

Answer:

Bài 3:

\(334-\left(-75\right)+[\left(-175\right)-34]\)

\(=334+75-175-34\)

\(=\left(334-34\right)+\left(75-175\right)\)

\(=300+\left(-100\right)\)

\(=200\)

\(68-\left(-45\right)-[368-\left(-145\right)]\)

\(=68+45-[368+145]\)

\(=\left(68-368\right)+\left(45-145\right)\)

\(=\left(-300\right)+\left(-100\right)\)

\(=-400\)

Bài 4:

\(-17-\left(x-5\right)=-52\)

\(\Rightarrow x-5=-17-\left(-52\right)\)

\(\Rightarrow x-5=35\)

\(\Rightarrow x=40\)

\(3\left(7-x\right)+\left(-12\right)=-75\)

\(\Rightarrow3\left(7-x\right)=-75-\left(-12\right)\)

\(\Rightarrow3\left(7-x\right)=-63\)

\(\Rightarrow7-x=-21\)

\(\Rightarrow x=28\)