\(11\times12\times13)
\(11\times12\times13\times14\)
11x12x13x14=24024
ai k cho mk thì mk k lại cho kích mau ko hết nha
11 x 12 x 13 x 14 = 24024
k rùi đó
\(\frac{37\times13-13}{24+37\times12}=?\)
Tổng \(^{5^{45}\times12\times13+7^{30}\times6\times11}\)là số nguyên tố hay hợp số? Giải thích.
\(5^{45}\cdot12\cdot13+7^{30}.6.11\)là hợp số vì:
Ở số hạng thứ nhất có thừa số 12 chia hết cho3
Ở số hạng thứ 5 có thừa số 6 chia hết cho 3
=> là hợp số
\(\frac{4}{3\times7}+\frac{5}{7\times12}+\frac{1}{12\times13}+\frac{7}{13\times20}+\frac{3}{20\times23}\)
\(\frac{4}{3x7}\)+ \(\frac{5}{7x12}\)+ \(\frac{1}{12x13}\)+ \(\frac{7}{13x20}\)+ \(\frac{3}{20x23}\)
= \(\frac{4}{3}+5\)+\(1+7+\frac{3}{13}\)
=\(4+5+1+7+\frac{1}{13}\)
=\(17+\frac{1}{13}\)
=\(\frac{17}{1}+\frac{1}{13}=\frac{221+1}{13}=\frac{222}{13}\)
\(E=\frac{1}{1\times101}+\frac{1}{2\times102}+\frac{1}{3\times103}+.........+\frac{1}{10\times110}\) và \(F=\frac{1}{1\times11}+\frac{1}{2\times12}+\frac{1}{3\times13}+.......+\frac{1}{100\times110}\)
tìm tỉ số \(\frac{E}{F}\)
Tìm số nguyên âm x, biết:
\(^{x^2}-\left(\frac{3}{5}\right)^2=\frac{1}{1\times2}+\frac{1}{2\times7}+\frac{1}{5\times7}+\frac{1}{5\times13}+\frac{1}{8\times13}+\frac{1}{8\times19}+\frac{1}{11\times19}+\frac{1}{11\times19}+\frac{1}{11\times25}\)
AI NHANH MK TICK CHO NHA!
a,\(\frac{3^{10}\times(-5)^{21}}{\left(-5\right)^{20}\times3^{12}}\)
b,\(\frac{\left(-11\right)^5\times13^7}{11^5\times13^8}\)
c,\(\frac{2^{10}\times3^{10}-2^{10}\times3^9}{2^9\times3^{10}}\)
d,\(\frac{5^{11}\times7^{12}+5^{11}\times7^{11}}{5^{12}\times7^{12}+9\times5^{11}\times7^{11}}\)
Bài trên là bài rút gon phân số
\(a)\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{3^2}=\frac{-5}{9}\)
\(b)\frac{-11.13^7}{11^5.13^8}=\frac{-1}{11^4.13}\) (Bạn xem thử xem có sai đề không nhé)
\(c)\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3+1\right)}{2^9.3^{10}}=\frac{2.4}{3}=\frac{8}{3}\)
\(d)\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.4+9\right)}=\frac{8}{20+9}=\frac{8}{29}\)
\(a)\frac{3^{10}\cdot\left(-5\right)^{21}}{\left(-5\right)^{20}\cdot3^{12}}=\frac{-5}{3^2}=\frac{-5}{9}\)
\(b)\frac{\left(-11\right)\cdot13^7}{11^5\cdot13^8}=\frac{-1}{11^4\cdot13}=\frac{-1}{14641\cdot13}=\frac{-1}{190333}\)
\(c)\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}=\frac{2^{10}\left(3^{10}-3^9\right)}{2^9\cdot3^{10}}=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}=\frac{2^{10}\cdot3^9\cdot2}{2^9\cdot3^{10}}=\frac{2\cdot2}{3}=\frac{4}{3}\)
\(x-\left(\frac{20}{11\times13}+\frac{20}{13\times15}+\frac{20}{15\times17}+...+\frac{20}{53\times55}\right)=\frac{3}{11}\)
\(x-\left(\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{53.55}\right)=\frac{3}{11}\)
\(x-10\left(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+...+\frac{2}{53.55}\right)=\frac{3}{11}\)
\(x-10\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)=\frac{3}{11}\)
\(x-10\left(\frac{1}{11}-\frac{1}{55}\right)=\frac{3}{11}\)
\(x-10.\frac{4}{55}=\frac{3}{11}\)
\(x-\frac{40}{55}=\frac{3}{11}\)
\(x=\frac{3}{11}+\frac{40}{55}\)
\(x=\frac{55}{55}=1\)
nha.
\(\left(\frac{11}{12}+\frac{11}{12\times13}+\frac{11}{23\times24}+...+\frac{11}{89\times100}\right)+x=\frac{5}{3}\)
Tim x biet
ai guips tui với
Trước hết tính tổng :
\(\frac{11}{12}+\frac{11}{12\times13}+...+\frac{11}{89\times100}=1-\frac{1}{12}+\frac{1}{12}-\frac{1}{13}+...+\frac{1}{89}-\frac{1}{100}\)
\(=1-\frac{1}{100}=\frac{99}{100}\)
Do đó \(\frac{99}{100}+x=\frac{5}{3}\)
Vậy \(x-\frac{5}{3}-\frac{99}{100}=\frac{500-297}{300}=\frac{203}{300}\)
Vậy...
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dung ko??