a) \(14^{26}.\frac{5^{24}}{2^{25}}.35^{24}\)

\(=14^{26}.35^{24}.\frac{5^{24}}{3^{25}}\)

\(=14^{26}.\frac{35^{24}.5^{24}}{3^{25}}\)

\(=14^{26}.\frac{\left(35.5\right)^{24}}{3^{25}}\)

\(=14^{26}.\frac{175^{24}}{3^{25}}\)

b) \(\left(\frac{3}{5}\right)^{2018}.x=\left(\frac{3}{5}\right)^{2016}\)

\(\Leftrightarrow x=\left(\frac{3}{5}\right)^{2016}:\left(\frac{3}{5}\right)^{2018}\)

\(\Leftrightarrow x=\left(\frac{3}{5}\right)^{-2}\)

\(\left(\frac{3}{5}\right)^{2018}.x=\left(\frac{3}{5}\right)^{2016}\)

\(\Rightarrow x=\left(\frac{3}{5}\right)^{2016}:\left(\frac{3}{5}\right)^{2018}\)

\(\Rightarrow x=\left(\frac{3}{5}\right)^{-2}\)

\(\Rightarrow x=\frac{25}{9}.\)

Vậy \(x=\frac{25}{9}.\)

Chúc bạn học tốt!

Mình lớp 4 mà bạn

Với lại là bằng :

6''675

7785.,77

664'87'9776''8

Câu a:

Ta thấy 37 - 37 = 0

nên nhóm lại kết quả là 14 + 26 = 40

Câu b:

tương tự, kết quả là 6 + 10 = 16

Các câu còn lại như vậy

( -37)+14 +26 +37

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

=0 +40 = 40 

- 24 + 6  +10 +24 

=( -24 ) + 24 +(  6 + 10 ) 

=0 + 16 = 16

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

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

= -10 + 0 

= - 10

60 + 33 + ( -50 ) + ( 33 )

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

= 10 + 0 = 10

( -16) +(-209)  + ( -14 ) + 2009 

= ( -16 ) + ( -14 ) + ( -209 ) + 209 

= -30 + 0 

= -30

( -12 ) + ( -13 ) + 36 + (- 11 )

= ( -12 ) + (- 13 ) + ( -11 ) + 36 

=  - 25 + ( - 11 ) + 36

= -36 + 36 

= 0                       

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37

=(1+37)x37:2

=703

lop 1 khong co cau nay

Kết quả là 703 nha bạn

1)
S1=(1+999)+(2+998)+...+(501+499)+500
S1=1000.(999-1)+500
S1=998 000 + 500
S1=998 500
 

S4=24+25+26+...+125+126
S4=(24+126)+(25+125)+..+(74+76)+75
S4=150.51+75
S4=7650+75
S4=7725

S7=15+25+35+...+115
S7=(15+115)+(25+105)+...+(60+70)+65
S7=130.26+65
S7=3380+65
S7=3445

1) $(-35)\cdot18+28\cdot35$

$=35\cdot(-18)+28\cdot35$

$=35\cdot(-18+28)$

$=35\cdot10$

$=350$

2) $53\cdot29-47\cdot(-29)$

$=53\cdot29-47\cdot(-1)\cdot29$

$=53\cdot29+47\cdot29$

$=29\cdot(53+47)$

$=29\cdot100$

$=2900$

3) $125\cdot(-24)+24\cdot225$

$=(-125)\cdot24+24\cdot225$

$=24\cdot(-125+225)$

$=24\cdot100$

$=2400$

4) $26\cdot(-121)-121\cdot(-36)$

$=-121\cdot[26+(-36)]$

$=-121\cdot(26-36)$

$=-121\cdot(-10)$

$=121\cdot10$

$=1210$

5) $65\cdot(-25)+25\cdot(-23)$

$=-65\cdot25+25\cdot(-23)$

$=25\cdot(-65-23)$

$=25\cdot(-88)$

$=-2200$

6) $237\cdot(-26)+26\cdot137$

$=-237\cdot26+26\cdot137$

$=26\cdot(-237+137)$

$=26\cdot(-100)$

$=-2600$

7) $30\cdot(-125)+25\cdot30$

$=30\cdot(-125+25)$

$=30\cdot(-100)$

$=-3000$

8) $(-37)\cdot69+(-31)\cdot37$

$=37\cdot(-69)+37\cdot(-31)$

$=37\cdot(-69-31)$

$=37\cdot(-100)$

$=-3700$

9) $31\cdot72-31\cdot70-31\cdot2$

$=31\cdot(72-70-2)$

$=31\cdot(2-2)$

$=31\cdot0$

$=0$

10) $(-12)\cdot47+(-12)\cdot52+(-12)$

$=-12\cdot(47+52+1)$

$=-12\cdot100$

$=-1200$

$\text{#}Toru$

( -37 ) + 14 + 26 + 37 = [ ( -37 ) + 37 ] + ( 14 + 26 ) = 0 + 40 = 40

1. ( -24 ) + 6 + 10 + 24 = [ ( -24 ) + 24 ] + ( 6 + 10 ) = 0 + 16 = 16

2. 15 + 23 + ( -25 ) + ( -23 ) = [ 15 + ( -25 ) ] + [ 23 + ( -23 ) = ( -10 ) + 0 = -10 

3. 60 + 33 + ( -50 ) + ( -33 ) = [ 60 + ( -50 ) ] + [ 33 + ( -33 ) ] = 10 + 0 = 10

4. ( -16 ) + ( -209 ) + ( -14 ) + 209 = [ ( -16 ) + ( -24 ) ] + [ ( -209 ) + 209 ] - ( -40 ) + 0 = -40

5.( -12 ) + ( -13 ) + 36 + ( -11 ) = [ ( -12 ) + ( -13 ) + ( -11 ) ] + 36 = ( -36 ) + 36 = 0

6. ( -16 ) + 24 + 16 - 34 = [ ( -16 ) + 16 ] + ( 24 - 34 ) = 0 + ( - 10 )  = -10

7. 25 + 37 - 48 - 25 - 37 = ( 25 - 25 ) + ( 37 - 37 ) - 48 = 0 + 0 - 48 = -48

8. 2575 + 37 - 2576 - 29 = ( 2575 - 2576 ) + ( 37 - 29 ) = ( -1 ) + 8 = 7

 34 + 35 + 36 - 14 - 15 - 16 - 17 = ( 34 - 14 ) + ( 35 - 15 ) + ( 36 - 16 ) - 17 = 20 + 20 + 20 - 17 = 60 - 17 = 43

OK

                            = 0+ ( 14+26)

                            = 0+ 40 = 40

*1.) (-24)+6+10+24 = (-24+24)+(6+10)

                          = 0+ 16 = 16

2.) 15+23+(-25)+(-23) = (23+-23)+(15+-25)

                               = 0 + -10 = -10

3.) 60+33+(-50)+(-33) = (33+-33)+(60+(-50)

                               = 0+ 10 = 10

4.) (-16)+(-209)+(-14)+209 = (-209+209)+(-16+-14)

                                      = 0+ -30 = -30

5.) (-12) +(-13)+36+(-11) = (-12+-13+-11)+36

                                   = -36 + 36 = 0

 6.) -16 +24 +16-34 = (-16+16)+(24-34)

                             = 0+ -10 = -10

8.) 2575 +37-2575-29 =(2575-2575)+(37 -29)

                               = 0 + 8 = 8

         = (34-14)+(35-15)+(36-16)+(37-17)

          = 10+10+10+10

          = 10 . 4 = 40

1) -39 +14+26+39

=   39-39 + 40

=40

2)  -54 +16 +(-6)+54

=54-54  +10

=10

3) 45 +23+(-35)+(-23)

=  45-35 +23 -23

=10+0

=10

4) 45  .17 - 5.9.7

=45.17 -45.7

=45.( 17-7)

=45 .10

=450

5) 24 ( 16-5) -16(24-5)

=24.16 -24.5 -16 .24 +16 .5

= 24.16 -16.24 +5 (16-24)

=0  +5 .(-8)

=-40

Chúc hok tốt!

1. ( - 39 ) + 14 + 26 + 39 

= [ ( - 39 ) + 39 ] + ( 14 + 26 )
= 0 + 40 

= 40

2. ( - 54 ) + 16 + ( - 6 ) + 54

= [ ( - 54 ) + 54 ] + [ 16 + ( - 6 ) ]

= 0 + 10

= 10

3. 45 + 23 + ( - 35 ) + ( - 23 )

= [ 45 + ( - 35 ) ] + [ 23 + ( - 23 ) ] 

= 10 + 0 

= 10

4. 45 . 17 - 5 . 9 . 7

= 45 . 17 - 45 . 7 

= 45 . ( 17 - 7 )
= 45 . 10

= 450

5. 24 . ( 16 - 5 ) - 16 . ( 24 - 5 )

= 24 . 11 - 16. 19

= 264 - 304

= 264 + ( - 304 )

= - ( 304 - 364 ) 

= - 40

Chúc bạn học tốt ! 

1. (-39)+14+26+39

\(=\left[\left(-39\right)+39\right]+\left(14+26\right)\)

\(=0+40\)

\(=40\)

2. (-54)+16+(-6)+54

\(=\left[\left(-54\right)+54+\left[16+\left(-6\right)\right]\right]\)

\(=0+10\)

\(=10\)

3. 45+23+(-35)+(-23)

\(=\left(45+\left(-35\right)\right)+\left(23+\left(-23\right)\right)\)

\(=10+0\)

\(=10\)

4. 45.17-5.9.7

\(=45.17-45.7\)

\(=45.\left(17-7\right)\)

\(=45.10\)

\(=450\)

5. 24.(16-5)-16.(24-5)

\(=24.16-24.5-16.24+16.5\)

\(=24.\left(16-16\right)+5.\left(-24+16\right)\)

\(=24.0+5.\left(-8\right)\)

\(=0+\left(-40\right)\)

\(=-40\)