Question

[Lucifer]

Rút gọn biểu thức 

\(C=\frac{2.5^{22}-9.5^{21}}{25^{10}}\) :\(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)

Answer 1

[Lucifer]

ad em giải nhanh nhất 

Answer 2

[✫¸.•°*”˜˜”*°•✫ Ṱђầภ Ḉђết ✫•°*”˜˜”*°...]

Bài làm

\(C=\frac{2.5^{22}-9.5^{21}}{25^{10}}:\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)

\(C=\frac{2.5^{21}.5-9.5^{21}}{25^{10}}:\frac{5.\left(3.7^{14}.7-19.7^{14}\right)}{7^{16}.7+3.7^{15}}\)

\(C=\frac{5^{21}.\left(2-9\right).5}{\left(5.5\right)^{10}}:\frac{5.[7^{15}.\left(3-19\right)].7}{7^{15}.\left(3+1\right).7}\)

\(C=\frac{5^{21}.\left(-7\right).5}{5^{10}.5^{10}}:\frac{5.7^{15}.\left(-16\right).7}{7^{15}.4.7}\)

\(C=\frac{5^{21}.\left(-35\right)}{5^{10}.5^{10}}:\frac{7^{15}.\left(-112\right).5}{7^{15}.28}\)

\(C=5.\left(-35\right):\frac{7^{15}.560}{7^{15}.28}\)

\(C=5.\left(-35\right):\frac{1.560}{1.28}\)

\(C=5.\left(-35\right):20\)

\(C=5.\left(-35\right).\frac{1}{20}\)

\(C=-\frac{175}{20}\)

\(C=-\frac{35}{4}\)

Vậy biểu thức trên \(C=\frac{2.5^{22}-9.5^{21}}{25^{10}}:\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)bằng \(C=-\frac{35}{4}\)

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