\(a,-\frac{9}{12}=-\frac{9:3}{12:3}=-\frac{3}{4}\)

\(\frac{-18}{-24}=\frac{\left(-18\right):\left(-6\right)}{\left(-24\right):\left(-6\right)}=\frac{3}{4}\)

\(-\frac{35}{70}=-\frac{35:35}{70:35}=\frac{1}{2}\)

\(-\frac{9}{27}=-\frac{9:9}{27:9}=-\frac{1}{3}\)

\(b,\frac{1313}{4242}=\frac{1313:101}{4242:101}=\frac{13}{42}\)

\(\frac{-353535}{-424242}=\frac{\left(-353535\right):\left(-70707\right)}{\left(-424242\right):\left(-70707\right)}=\frac{5}{6}\)

\(c,\frac{2^3\times4^3\times5^4}{8^2\times25^3\times7}=\frac{2^3\times4^3\times25^2}{8\times8^2\times25^2\times25\times7}\)         ( 4^3 = 8^2 ; 5^4 = 25^2 )

\(=\frac{1}{25\times7}=\frac{1}{175}\)

\(a.\frac{-9}{-12}=\frac{-9:3}{-12:3}=\frac{-3}{-4}.\)

\(\frac{-18}{-24}=\frac{-18:6}{-24:6}=\frac{-3}{-4}\)

\(\frac{-35}{-70}=\frac{-35:35}{-70:35}=\frac{-1}{-2}\)

\(\frac{-9}{-27}=\frac{-9:9}{-27:9}=\frac{-1}{-3}\)

a) \(\frac{-9}{12}=\frac{-9\div3}{12\div3}=\frac{-3}{4}\)

\(\frac{-18}{-24}=\frac{-18\div\left(-6\right)}{-24\div\left(-6\right)}=\frac{3}{4}\)

\(\frac{-35}{70}=\frac{-35\div35}{70\div35}=\frac{-1}{2}\)

\(\frac{-9}{27}=\frac{-9\div9}{27\div9}=\frac{-1}{3}\)

b) \(\frac{1313}{4242}=\frac{1313\div101}{4242\div101}=\frac{13}{42}\)

\(\frac{-353535}{-424242}=\frac{-353535\div\left(-70707\right)}{-424242\div\left(-70707\right)}=\frac{5}{6}\)

c)\(\frac{2^3\times4^3\times5^4}{8^2\times25^3\times7}\)= \(\frac{2^3\times4^3\times5^4}{\left(2^3\right)^2\times\left(5^2\right)^3\times7}\)= \(\frac{2^3\times4^3\times5^4}{2^6\times5^6\times7}\)= \(\frac{2^3\times4^3\times5^4}{2^3\times2^3\times5^2\times5^4\times7}\)= \(\frac{2^3\times2^3}{2^3\times5^2\times7}\)= \(\frac{8}{25\times7}\)= \(\frac{8}{175}\)

-12+20=5x-x

8=4x

x=2

vậy x=2

\(-12+x=5x-20\)

\(-12+20=5x-x=4x\)

\(\Rightarrow8=4x\)

\(\Leftrightarrow x=2\)

giải

(-12)+x=5.x-20

5x+x=(-12)-20

6x = -32

x = (-32) : 6 

x = fhdguhijitr

\(\overline{x279y}\) chia 5 dư 3 => y={3; 8}

+ Với y=3 \(\Rightarrow x279y=\overline{x2793}\) chia hết cho 9 => x+2+7+9+3=x+21 chia hết cho 9 => x=6

+ Với y=8 \(\Rightarrow\overline{x279y}=\overline{x2798}\) chia hết cho 9 => x+2+7+9+8=x+26 chia hết cho 9 => x=1

gọi:n=x279y

để n : 5 dư 3 thì chữ số tận cùng phải là 3 hoặc 8.

vậy:y=3 hoặc 8

t h 1:nếu y=3

thì n=x2793

để n : hết 9 thì x=6(lý do bn tự suy nghĩ)

t h 2:nếu y=8

thì n=x2798

để n : hết 9 thì x=1

vậy:nếu y=3 thì x=6

nếu y=8 thì x=1

k và kb nha!

\(\frac{x}{4}=\frac{18}{x+1}\)

\(\Leftrightarrow x\left(x+1\right)=72\)

\(\Leftrightarrow x=8\)

P/s tham khảo nha

bn trần hoàng việt ơi, bn có thể giải kĩ hơn đc chứ?

(suy ra )  x(x+1)=72

               x(x+1)=8(7+1)

        Vậy x=8 

mình đảm bảo đúng

chịu

chịu thua

.

B x 3 = 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + ... + 99x100x3

= 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3) + ... + 99x100x(101-98)

= 1x2x3 + 2x3x4 - 1x2x3 + 3x4x5 - 2x3x4 + 4x5x6 - 3x4x5 + ... + 99x100x101 - 98x99x100.

= 99x100x101

B = 99x100x101 : 3

= 333300

nhanh k minh

B= 1x2+3x4+5x6+...+99x100

=> Bx3= 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + ...+ 99x100x3

=> Bx3= 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3)+...+99x100x(101-98)

=> Bx3= 1x2x3 + 2x3x4 - 1x2x3 + 3x4x5 - 2x3x4 +4x5x6 - 3x4x5 +...+ 99x100x101 - 98x99x100

=> Bx3= 99x100x101

=> B= 99x100x101:3

=> B= 333300

a) 3\(^x\) . 3 = 243

3\(^x\) = 81

3\(^x\) = 3\(^4\)

=> = 4 

b) 64 . 4\(^x\) = 16\(^8\)

4\(^3\) . 4\(^x\) = 4\(^{16}\)

4\(^{3+x}\) = 4\(^{16}\)

=> 3 + x = 16

x = 13

Học tốt

Đúng thì t cho mk

a) 3^x . 3 = 243 

243 = 3^5 

3^4 . 3 = 234 

nên x = 4 

b) 64 . 4^x = 16^8

4^3 . 4^x = ( 4^2)^8 

4^3 . 4^x = 4^16 

4^(4+x) = 4^16 

x = 4^16 : 4^4 

x = 4^12 

x = 12

a) 3^x . 3 = 243

3^x = 243 : 3

3^x = 81

3^x = 3⁴

\(\Rightarrow\)x = 4

Vậy x = 4

b ) 64 . 4^x = 16⁸

4^x = 16⁸ : 64

4^x = 4¹⁶ : 4 ³

4^x = 4^{16 - 3}

4^x = 4¹³

\(\Rightarrow\)x = 13

Vậy x = 13

#THPT - TQY

\(\frac{x+1}{3}=\frac{9}{2}\)

\(\left(x+1\right).2=9.3\)

\(\left(x+1\right).2=27\)

\(x+1=27:2\)

\(x+1=13,5\)

\(x=13,5-1=12,5\)

vậy x = 12.5

\(\frac{x+1}{3}=\frac{9}{2}\)

\(\Leftrightarrow2\left(x+1\right)=3\times9\)

\(\Leftrightarrow2\left(x+1\right)=27\)

\(\Leftrightarrow x+1=\frac{27}{2}\)

\(\Leftrightarrow x=\frac{25}{2}\)

\(\frac{x+1}{3}\)= \(\frac{9}{2}\)

:> 2( x +1) = 9 . 3

:> 2x + 2 = 27

:>       2x = 27 - 2

:>       2x = 25

:>        x = \(\frac{25}{2}\)

\(\left(4x-1\right)^3=\frac{-1}{27}\)

\(\Rightarrow\left(4x-1\right)^3=\left(\frac{-1}{3}\right)^3\)

\(\Rightarrow4x-1=\frac{-1}{3}\)

\(\Rightarrow4x=\frac{-1}{3}+1\)

\(\Rightarrow4x=\frac{2}{3}\)

\(\Rightarrow x=\frac{2}{3}:4\)

\(\Rightarrow x=\frac{1}{6}\)