75:(x-8)=5

x-8       = 75:5

x-8       =15

x           = 15+8

x           =23

75/(x-8)=5

=> x-8=75:5

=> x-8=15

=> x=15+8

=> x=23

nhanh lên

431/225

9/5 x 5/7=63/25

63/25 x 7/9=431/225

chúc học tốt

x=25

(25-x).100=0

         25-x=0.100

        25-x=0

              x=25-0

              x=25

(25-x).100=0
25.x=0.100
25-x=0
x=25-0
x=25
Vậy x=25

ta có \(\frac{8^{10}}{4^8}=\frac{4^{10}.2^{10}}{4^8}=4^2.2^{10}=2^{14}=16384\)

8¹⁰:4⁸=(2³)¹⁰  :  (2²)⁸

=2³⁰:2¹⁶

=2^30-16=2¹⁴

\(\frac{8^{10}}{4^8}=\frac{\left(2^3\right)^{10}}{\left(2^2\right)^8}=\frac{2^{30}}{2^{16}}=2^{14}\)
mik đúng , nha

\(5^{2.x+1}=125\)

\(\Rightarrow5^{2x}.5=125\)

\(\Rightarrow5^{2x}=25\)

\(\Rightarrow25^x=25\)

\(\Rightarrow x=1\)

=>\(5^{2x}.5=125\)

=>\(5^{2x}=25\)

=> \(25^x=25\Rightarrow x=1\)

     \(5^{2x+1=125}\)

\(\Rightarrow5^{2x+1}=5^3\)

\(\Rightarrow2x+1=3\)

\(\Rightarrow2x=2\)

\(\Rightarrow x=1\)

Chúc bạn lam bài tốt nhé !

a; \(\dfrac{21}{11}\) x \(\dfrac{22}{17}\) x \(\dfrac{68}{63}\)

= \(\dfrac{21\times11\times2\times17\times4}{11\times17\times21\times3}\)

= \(\dfrac{11\times17\times21}{11\times17\times21}\) x \(\dfrac{2\times4}{3}\)

= 1 x \(\dfrac{8}{3}\)

= \(\dfrac{8}{3}\)

b; \(\dfrac{5}{14}\) \(\times\) \(\dfrac{7}{13}\) x \(\dfrac{26}{25}\)

= \(\dfrac{5\times7\times2\times13}{7\times2\times13\times5\times5}\)

= \(\dfrac{5\times7\times2\times13}{5\times7\times2\times13}\) x \(\dfrac{1}{5}\)

= 1 x \(\dfrac{1}{5}\)

= \(\dfrac{1}{5}\)

abcd:9=dcba

abcd:9=4321

abcd   =4321:9

abcd   =1234

mình ghi nhầm

đúng ra phải là:

abcd:9=dcba

abcd:9=4321

abcd   =4321*9

abcd   =3889

(dấu*là dấu nhân nhé!)

đáp án là 10989

Ta có:

\(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{13.15}\)

\(\Rightarrow\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\)

\(\Rightarrow\frac{1}{1}-\frac{1}{15}=\frac{14}{15}\)