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B
1
ML
6 tháng 8 2015
\(y=\frac{50^{15}.13^{18}}{25^7.26^{15}.5^{16}}=\frac{\left(2.5\right)^{15}.13^{18}}{\left(5^2\right)^7.\left(2.13\right)^{15}.5^{16}}=\frac{2^{15}.5^{15}.13^{18}}{5^{14}.5^{16}.2^{15}.13^{15}}=\frac{2^{15}.5^{15}.13^{18}}{5^{30}.2^{15}.13^{15}}=\frac{13^3}{15^{15}}\)
BB
20 tháng 1 2017
a)\(\frac{-5}{13}+\left(\frac{3}{5}+\frac{3}{13}-\frac{4}{10}\right)=\frac{-5}{13}-\frac{3}{5}-\frac{3}{13}+\frac{4}{10}=\left(\frac{-5}{13}-\frac{3}{13}\right)+\frac{4}{10}-\frac{3}{5}=\frac{-5-3}{13}+\left(\frac{4}{10}-\frac{6}{10}\right)=\frac{-8}{13}+\frac{-2}{10}=\frac{-80}{130}+\frac{-26}{130}=\frac{-106}{130}=\frac{-53}{65}\)
PN
1
1 tháng 6 2020
\(B=\frac{25^5+25^7+25^9}{5^{11}+5^{13}+5^{15}+5^{17}+5^{19}+5^{21}}\)
\(B=\frac{\left(5^2\right)^5+\left(5^2\right)^7+\left(5^2\right)^9}{5^{11}+5^{13}+5^{15}+5^{17}+5^{19}+5^{21}}\)
\(B=\frac{5^{10}+5^{14}+5^{18}}{5^{11}+5^{13}+5^{15}+5^{17}+5^{19}+5^{21}}\)
\(B=\frac{5^{10}.\left(1+5^4+5^8\right)}{5^{11}.\left(1+5^2+5^4+5^6+5^8+5^{10}\right)}\)
\(B=\frac{1+5^4+5^8}{5.\left[\left(1+5^4+5^8\right)+5^2.\left(1+5^4+5^8\right)\right]}\)
\(B=\frac{1+5^4+5^8}{5.\left[\left(1+5^4+5^8\right).\left(1+5^2\right)\right]}\)
\(B=\frac{1+5^4+5^8}{5.\left(1+5^4+5^8\right).26}\)
\(B=\frac{1}{5.26}\)
\(B=\frac{1}{130}\)
Nhớ k cho m nha
PA
10 tháng 7 2016
a.
\(\frac{5^3\times90\times4^3}{25^2\times3^2\times2^{13}}=\frac{5^3\times5\times9\times2\times\left(2^2\right)^3}{\left(5^2\right)^2\times3^2\times2^{13}}=\frac{5^4\times3^2\times2\times2^6}{5^4\times3^2\times2^{13}}=\frac{1}{2^6}=\frac{1}{64}\)
b.
\(\frac{18\times27+18\times\left(-23\right)}{34\times4-4\times52}=\frac{18\times\left(27-23\right)}{4\times\left(34-52\right)}=\frac{18\times4}{4\times\left(-18\right)}=-1\)
c.
\(\frac{15^2\times16^4-15^3\times16^3}{12^2\times20^3-20^2\times12^3}=\frac{16^3\times15^2\times\left(16-15\right)}{12^2\times20^2\times\left(20-12\right)}=\frac{16\times\left(16\times15\right)^2}{8\times\left(20\times12\right)^2}=\frac{16\times240^2}{8\times240^2}=2\)
d.
\(\frac{2\times3+4\times6+14\times21}{3\times5+6\times10+21\times35}=\frac{2\times3\times\left(1+2\times2+7\times7\right)}{3\times5\times\left(1+2\times2+7\times7\right)}=\frac{2}{5}\)
Chúc bạn học tốt
BY
10 tháng 7 2016
a) \(\frac{5^3\cdot90\cdot4^3}{25^2\cdot3^2\cdot2^{13}}=\frac{5^3\cdot2\cdot3^2\cdot5\cdot2^6}{5^4\cdot3^2\cdot2^{13}}=\frac{1}{2^6}=\frac{1}{64}\)
b) \(\frac{18\cdot27+18\cdot\left(-23\right)}{34\cdot4-4\cdot52}=\frac{18\left(27-23\right)}{4\left(34-52\right)}=\frac{9\cdot4}{2\cdot\left(-18\right)}=\frac{3^2\cdot2^2}{2\cdot2\cdot3^2\cdot\left(-1\right)}=-1\)
c) \(\frac{15^2\cdot16^4-15^3\cdot16^3}{12^2\cdot20^3-20^2\cdot12^3}=\frac{15^2\cdot16^3\left(16-15\right)}{12^2\cdot20^2\left(20-12\right)}=\frac{15^2\cdot16^3}{12^2\cdot20^2\cdot8}=\frac{3^2\cdot5^2\cdot2^{12}}{2^4\cdot3^2\cdot2^4\cdot5^2\cdot2^3}=2\)
d) \(\frac{2\cdot3+4\cdot6+14\cdot21}{3\cdot5+6\cdot10+21\cdot35}=\frac{2\cdot3+2^2\cdot2\cdot3+2\cdot3\cdot7^2}{3\cdot5+2^2\cdot3\cdot5+3\cdot5\cdot7^2}=\frac{2\cdot3\left(1+2^2+7^2\right)}{3\cdot5\left(1+2^2+7^2\right)}=\frac{2}{5}\)
\(\frac{50^{15}\cdot13^{18}}{25^7\cdot26^{15}\cdot5^{16}}=\frac{5^{15}\cdot2^{15}\cdot13^{18}}{5^{14}\cdot13^{15}\cdot2^{15}\cdot5^{16}}=\frac{5^{15}\cdot2^{15}\cdot13^{18}}{5^{30}\cdot2^{15}\cdot13^5}=\frac{13^{13}}{5^{15}}\)
bạn Đào Trọng Luân ơi, hình như sai thì phải!