\(=\)\(\frac{2^{12}.5^7+2^{12}.5^6}{2^{15}.5^6+2^{12}.5^6}\)

\(=\)\(\frac{2^{12}.5^6.\left(1+5\right)}{2^{12}.5^6.\left(2^3+1\right)}\)

\(=\)\(\frac{6}{9}\)\(=\)\(\frac{2}{3}\)

chúc học tốt

0,5555897934

\(\frac{2^{12}\cdot5^7+4^6\cdot25^3}{8^5\cdot25^3+\left(2^2\cdot5\right)^6}\)

\(=\frac{2^{12}.5^7+2^{12}\cdot5^6}{2^{15}\cdot5^6+2^{12}\cdot5^6}\)

\(=\frac{2^{12}\cdot5^6\cdot\left(1\cdot5+1\right)}{2^{12}\cdot5^6\cdot\left(2^3\cdot1+1\right)}\)

\(=\frac{6}{9}\)

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

\(\frac{2^{12}.5^7+4^6.25^3}{8^5.25^3+\left(2^2.5\right)^6}=\frac{2^{12}.5^7+\left(2^2\right)^6.\left(5^2\right)^3}{\left(2^3\right)^5.\left(5^2\right)^3+\left(2^2\right)^6.5^6}=\frac{2^{12}.5^7+2^{12}.5^6}{2^{15}.5^6+2^{12}.5^6}\)

                                 \(=\frac{2^{12}.5^6.\left(5+1\right)}{2^{12}.5^6.\left(2^3+1\right)}=\frac{6}{9}=\frac{2}{3}\)

 a. \(160 - \left( {{2^3}{{.5}^2} - 6.25} \right)\)

\(\begin{array}{l} = 160 - \left( {8.25 - 6.25} \right)\\ = 160 - 25.\left( {8 - 6} \right)\\ = 160 - 25.2\\ = 160 - 50\\ = 110\end{array}\)

Ta có: 110 = 2.5.11

b. \(37.3 + 225:{15^2}\)

\(\begin{array}{l} = 37.3 + 225:225\\ = 37.3 + 1\\ = 111 + 1\\ = 112\end{array}\)

Ta có: \(112 = 2^4.7\)

c. \(5871:103 - 64:{2^5}\)

\(\begin{array}{l} = 5871:103 - 64:32\\ = 57 - 2 = 55\end{array}\)

Ta có: 55 = 5. 11

d. \(\left( {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8} \right){.5^2} - 850:2\)

\(\begin{array}{l} = \left[ {\left( {1 + 8} \right) + \left( {2 + 7} \right) + \left( {3 + 6} \right) + \left( {4 + 5} \right)} \right]{.5^2} - 850:2\\ = \left( {9 + 9 + 9 + 9} \right){.5^2} - 850:2\\ = {9.4.5^2} - 850:2\\ = {36.5^2} - 425\\ = {36.5^2} - {5^2}.17\\ = {5^2}.\left( {36 - 17} \right)\\ = {5^2}.19=475\end{array}\)

Ta có: \(475 = 5^2.19\)

a: \(160-\left(2^3\cdot5^2-6\cdot25\right)\)

\(=160-\left(8\cdot25-150\right)\)

\(=160-200+150=10=2\cdot5\)

b: \(=111+225:225=112=2^4\cdot7\)

c: \(=57-64:32=57-2=55=5\cdot11\)

d: \(=\left(9\cdot\dfrac{8}{2}\right)\cdot25-425=36\cdot25-425=25=5^2\)

Đề bài bạn ghi lộn xộn quá.

Viết tiết kiệm zữ vạy trời, ko dám xuống dòng à ?

a)6.25+x=(3.5+x).1.5

b)x.(x-1999)-5.5=5.4

Ghi lại cho dễ nhìn thôi !

\(\frac{15^5.10^5}{6^6.25^6}\)

\(=\frac{3^5.5^5.2^5.5^5}{3^6.2^6.5^{12}}\)

\(=\frac{3^5.2^5.5^{10}}{3^6.2^6.5^{12}}\)

\(=\frac{1}{3.2.5^2}\)

\(\frac{\left(5^4.5^3\right)^3}{125^4}\)

\(=\frac{\left(5^7\right)^3}{5^{12}}\)

\(=\frac{5^{21}}{5^{12}}\)

\(=5^9\)

tính lũy thừa nha bn 

x⁴=6.25²

=>x⁴=6.625

=>x⁴=3750

Mà: (7,8254229)⁴=3750

=>x= 7,8254229

a) 6,25 x X + 3,75 x X = 30

    X x ( 6,25 + 3,75)    = 30

    X x 10                    = 30

    X                           = 30 : 10

    X                           = 3

=> 6,25 x 3 + 3,75 x 3 = 30

b) \(\frac{4}{X}=\frac{1}{7}\)

 \(X=4\div1\times7\)

 \(X=28\)

\(=>\frac{4}{28}=\frac{1}{7}\)

c) 5 x X  +  14 - 3 x X = 30

    X x ( 5 - 3 )            = 30 - 14

    X x  2                    = 16

    X                           = 16 : 2

    X                           =  8

=> 5 x 8 + 14 - 3 x 8 = 30

Mọi người ơi nhé!

Chúc mọi người học tập tốt như củ cà rốt ! hihi ^-^

Thank you very much!