Tinh hop ly cac bieu thuc sau
a. \(A=\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
\(C=\frac{11\times3^{22}\times3^7-9^{15}}{\left(2\times3^{14}\right)^2}\)
Những câu hỏi liên quan
1.Tính giá trị tuyệt đối:(hẹp me)
a)\(\frac{72^3\times54^2}{108^4}\)
b)\(\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
c)\(\left(1:\frac{1}{7}\right)^2[\left(2^2\right)^3:2^5]\times\frac{1}{49}\)
d)\(\frac{4^6\times3^5-2^{12}\times3^6}{2^{12}\times9^3+8^4\times3^5}\)
1.Tính giá trị tuyệt đối:(hẹp me)
a)\(\frac{72^3\times54^2}{108^4}\)
b)\(\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
c)\(\left(1:\frac{1}{7}\right)^2[\left(2^2\right)^3:2^5]\times\frac{1}{49}\)
d)\(\frac{4^6\times3^5-2^{12}\times3^6}{2^{12}\times9^3+8^4\times3^5}\)
Tính giá trị của mỗi phân số sau:
\(E=\dfrac{11\times3^{29}-\left(3^2\right)^{15}}{2\times3^{14}\times2\times3^{14}}\)
\(G=\dfrac{5\times3^{11}+4\times3^{12}}{3^9\times5^2-3^0\times2^3}\)
\(H=\dfrac{\left(3\times4\times2^{16}\right)^2}{11\times2^{13}\times4^{11}-16^9}\)
\(E=\dfrac{11.3^{29}-3^{2^{15}}}{2.3^{14}.2.3^{14}}\)
\(=\dfrac{11.3-3^{30}}{2^2}=\dfrac{33-3^{30}}{4}\)
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Bài 10: Tính:
a, A = \(\frac{7\times4^5\times3^{11}+2^{13}\times9^5}{6^{10}+2^{12}\times3^{10}}\)
b, G = \(\frac{11\times3^{22}\times3^7-9^{15}}{\left(2-3^{14}\right)^2}\)
\(A=\frac{7x\left(2x2\right)^5x3^{11}+2^{13}x\left(3x3\right)^5}{\left(2x3\right)^{10}+2^{12}x3^{10}}\)
\(A=\frac{7x2^{10}x3^{11}+2^{13}x3^{10}}{2^{10}x3^{10}+2^{12}x3^{10}}\)
tự làm tiếp
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bài 1: Tính:
a, A= \(\frac{7\times4^5\times3^{11}+2^{13}\times9^5}{6^{10}+2^{12}\times3^{10}}\)
b, G= \(\frac{11\times3^{22}\times3^7-9^{15}}{\left(2-3^{14}\right)^2}\)
a. frac{3^2times64^2-12^2times16^2times19+51times33}{3+6+9+...+96+99}b. frac{6^3times9^7times4^3-16^2times81^4}{left(24times3right)^2}c. frac{21times5^{21}times5^8-25^{13}}{left(4times5^{14}right)^2}d. frac{81^4times3^{10}times27^5div3^{12}}{9^9div9^3times243^3}e. frac{18^6div2^{11}div9^3times4^3}{32^2div6^9times3^6}
Đọc tiếp
a. \(\frac{3^2\times64^2-12^2\times16^2\times19+51\times33}{3+6+9+...+96+99}\)
b. \(\frac{6^3\times9^7\times4^3-16^2\times81^4}{\left(24\times3\right)^2}\)
c. \(\frac{21\times5^{21}\times5^8-25^{13}}{\left(4\times5^{14}\right)^2}\)
d. \(\frac{81^4\times3^{10}\times27^5\div3^{12}}{9^9\div9^3\times243^3}\)
e. \(\frac{18^6\div2^{11}\div9^3\times4^3}{32^2\div6^9\times3^6}\)
Su dung tinh chat cua cac phep tinh de tinh nhanh bieu thuc sau :
\(P=\frac{0,55\times30\times2+11\times5+2,75\times8}{0,24\times470+0,8\times23\times3+3\times3\times8}\)
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)
\(c)\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3+1\right)}{2^9.3^{10}}=\frac{2.4}{3}=\frac{8}{3}\)
\(d)\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.4+9\right)}=\frac{8}{20+9}=\frac{8}{29}\)
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\(a)\frac{3^{10}\cdot\left(-5\right)^{21}}{\left(-5\right)^{20}\cdot3^{12}}=\frac{-5}{3^2}=\frac{-5}{9}\)
\(b)\frac{\left(-11\right)\cdot13^7}{11^5\cdot13^8}=\frac{-1}{11^4\cdot13}=\frac{-1}{14641\cdot13}=\frac{-1}{190333}\)
\(c)\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}=\frac{2^{10}\left(3^{10}-3^9\right)}{2^9\cdot3^{10}}=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}=\frac{2^{10}\cdot3^9\cdot2}{2^9\cdot3^{10}}=\frac{2\cdot2}{3}=\frac{4}{3}\)
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Tính (Theo mẫu):
MẪU\(\frac{9}{10}\times\frac{5}{6}=\frac{9\times5}{10\times6}=\frac{3\times3\times5}{5\times2\times3\times2}=\frac{3}{4}\)\(\frac{3}{4}\)
\(\frac{12}{35}\div\frac{35}{25}\)
\(\frac{9}{22}\times\frac{33}{18}\)
\(\frac{12}{35}:\frac{35}{25}=\frac{12}{35}.\frac{25}{35}=\frac{12.25}{35.35}=\frac{12.5.5}{7.5.7.5}=\frac{12}{49}\)
\(\frac{9}{22}.\frac{33}{18}=\frac{9.33}{22.18}=\frac{9.3.11}{11.2.9.2}=\frac{3}{4}\)
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