ta co
\(2\times3^x=10\times3^{12}+8\times27^4\)
\(\Leftrightarrow2\times3^x=10\times3^{12}+8\times3^{12}\)
\(\Leftrightarrow2\times3^x=3^{12}\times18\)
\(\Leftrightarrow2\times3^x=2\times3^{14}\)
\(\Leftrightarrow x=14\)
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
N=4\(\frac{4^6\times9^5\times6^9\times120}{8^4\times3^{12}-6^{11}}\)
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
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. \(\frac{18^6\div2^{11}\div9^3\times4^3}{32^2\div6^9\times3^6}\)
Tính nhanh
a) \(2\times14\times12+4\times6\times21+8\times3\times62\)
b) \(37\times24+76\times37+63\times79+21\times63\)
c) \(3\times21\times2\times6+4\times6\times42+8\times27\times3\)
\(E=\dfrac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^{10}\times6^{19}-7\times2^{29}\times27^6}\)
tính hợp lí
\(A=1+2+2^2+2^3+2^4+....+2^{49}\)
\(B=4^{^{20}}-2^{39}-2^{38}-2^{37}-....-2^2-2-1\)
\(C=81^{10}-8\times3^{38}-8\times3^{36}-8\times3^{34}-.....-8\times3^2-8\times3-8\)
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
Tính giá trị biểu thức
A = \(\frac{15\times3^{11}+4\times27^4}{9^7}\)
tìm số tự nhiên x biết
\(3^x=3^3\times3^5\)
\(2^x=4\times128\)
\(2^x\times3^x=4\times9\)
