a) \(K=\frac{2^{11}\cdot9^2}{3^5\cdot16^2}=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}=\frac{2^3}{3}=\frac{8}{3}\)
b) \(N=\frac{9^3\cdot27^2}{6^2\cdot3^{10}}=\frac{3^6\cdot3^6}{2^2\cdot3^2\cdot3^{10}}=\frac{1}{4}\)
c) \(P=\frac{27^{15}\cdot5^3\cdot8^4}{25^2\cdot81^{11}\cdot2^{11}}=\frac{3^{45}\cdot5^3\cdot2^{12}}{5^4\cdot3^{44}\cdot2^{11}}=\frac{3\cdot2}{5}=\frac{6}{5}\)
rút gọn
a)K=\(\frac{2^{11}.9^2}{3^5.16^2}\)
b)N=\(\frac{9^3.27^2}{6^2.3^{10}}\)
c)P=\(\frac{27^{25}.5^3.8^4}{25^2.81^{11}.2^{11}}\)
Bài 1 : Rút gọn : a)\(K=\frac{2^{11}.9^2}{3^5.16^2}\) b)\(N=\frac{9^3.27^2}{6^2.3^{10}}\) c)\(P=\frac{27^{15}.5^3.8^4}{25^2.81^{11}.2^{11}}\)
Bài 2 : Tìm x,y,z, biết : a) \(\frac{x}{y}=\frac{6}{9}\) và x - y = 30 b)\(\frac{x}{5}=\frac{y}{4}=\frac{z}{7}\) và x + 2y + z =40 c)\(\frac{x}{3}=\frac{y}{4}\); \(\frac{z}{5}=\frac{y}{7}\) và 2x + 3y - z = 106
Bài 3 : Tìm x,y, biết : a) \(\frac{x}{18}=\frac{y}{15}\) và x - y = -30 b) 7x =9y và 10x - 8y =68 c)\(\left(x-\frac{1}{2}\right)^{50}+\left(y+\frac{1}{3}\right)^{40}=0\)
1 tính :
a)\(\frac{2^{11}\times9^2}{3^5\times16^2}\); b) \(\frac{9^3\times27^2}{6^2\times3^{10}}\); c) \(\frac{27^{15}\times5^3\times8^4}{25^2\times81^{11}\times2^{11}}\)
tính:
a)\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
b)\(\frac{2^{15}.9^4}{6^3.8^3}\)
c)\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
bài 1 : tính hợp lí
a) \( \left(-0,125\right)^3.80^4\)
b) \(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}\)
bài 2 : rút gọn
a) \(A=\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
b)\(B=\left(6^9.2^{10}+12^{10}\right):\left(2^{19}.27^3+15.4^9.9^4\right)\)
c)\(H=x+\frac{0,2-0,375+\frac{5}{11}}{-0,3+\frac{9}{16}-\frac{15}{22}}vs,x=-\frac{1}{3}\)
a)A=\(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\) b)B=\(\frac{45}{19}-\left(\frac{1}{2}\left(\frac{1}{3}+\left(\frac{1}{4}\right)^{-1}\right)^-\right)^{-1}\) c)C=\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}\)
d)D=\(\frac{2^{21}.3^5-4^6.81}{\left(2^2.3\right)^6+8^4.3^5}\) e) E=\(\left(6^9.2^{10}+12^{10}\right):\left(2^{19}.27^3+15.4^9.9^4\right)\)
f) F=\(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.24^3+45^6}\) g)G=\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\) h)H=\(x+\frac{0,2-0,375+\frac{5}{11}}{-0,3+\frac{9}{16}-\frac{15}{22}}\)với x=-1/3
tính
\(\frac{2^{15}.9^4}{6^3.8^3}\)
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}\)
Thuc hien phep tinh:
a/\(\frac{\frac{1}{9}-\frac{1}{7}-\frac{1}{11}}{\frac{4}{9}-\frac{4}{7}-\frac{4}{11}}\)+ \(\frac{0,6-\frac{3}{25}-\frac{3}{125}-\frac{3}{625}}{\frac{4}{5}-0,16-\frac{4}{125}-\frac{4}{625}}\)
b/ \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
Bài 2: Rút gọn a) \(K=\frac{2^{11}\cdot9^2}{3^5\cdot16^2}\) b) \(N=\frac{9^3\cdot27^2}{6^2\cdot3^{10}}\) c) \(P=\frac{27^{15}\cdot5^3\cdot8^4}{25^2\cdot81^{11}\cdot2^{11}}\)
