\(\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}=6^x\)
\(\Rightarrow\dfrac{11.3^{29}-3^{30}}{2^2.3^{28}}=6^x\)
\(\Leftrightarrow\dfrac{3^{29}\left(11-3\right)}{2^2.3^{28}}=6^x\)
\(\Leftrightarrow\dfrac{3.8}{4}=6^x\)
\(\Leftrightarrow6^1=6^x\)
\(\Leftrightarrow x=1\)
Vậy..
Viết các tích sau dưới dạng một lũy thừa :
a, \(2^5\times8^4\)
b, \(12^3\times3^3\)
c, \(25^6\times125^3\)
d, \(3\times3^2\times3^3\times...\times3^{98}\times3^{99}\times3^{100}\)
\(\dfrac{2}{1\times2}+\dfrac{2}{2\times3}+\dfrac{2}{3\times4}+.....+\dfrac{2}{99\times100}\)
\(\left(\dfrac{2}{3}+\dfrac{2}{13}+\dfrac{2}{11}+\dfrac{2}{6}\right)\) \(\left(\dfrac{5}{4}+\dfrac{5}{7}+\dfrac{5}{6}+\dfrac{5}{11}\right)\)
___________________ X ___________________
\(\left(\dfrac{4}{3}+\dfrac{4}{13}+\dfrac{4}{11}+\dfrac{4}{6}\right)\) \(\left(\dfrac{9}{4}+\dfrac{9}{7}+\dfrac{9}{6}\dfrac{9}{11}\right)\)
\(1\times2+1\times2\times3+...+1\times2\times3\times...\times100\)
Tính một cách hợp lí :
\(B=\dfrac{40404}{70707}+\dfrac{244\times395-151}{244+395\times243}+\dfrac{1\times3\times5+2\times6\times10+4\times12\times20+7\times21\times35}{1\times5\times7+2\times10\times14+4\times20\times28+7\times35\times49}\)
Tính hợp lí :
\(\frac{1}{7}.\frac{1}{3}+\frac{1}{7}.\frac{1}{2}-\frac{1}{7}\)
Rút gọn rồi tính :
1) \(\frac{5^4\times9^5}{15^3\times27^3}\)
2) \(\frac{8^8\times3^{14}}{9^6\times2^{20}}\)
3) \(\frac{4^{10}\times25^7}{5^{14}\times8^6}\)
4) \(\frac{25^7\times2^{15}}{8^5\times5^{12}}\)
a, \(\left|x\right|\)- \(\dfrac{38}{7}\)\(\left|x\right|\)= 2\(\left|x\right|\)+ (\(\dfrac{-8}{7}\))
b, \(\dfrac{83}{15}\): x + (\(\dfrac{-4}{17}\)) : x + \(\dfrac{22}{7}\): \(\dfrac{52}{3}\)= \(\dfrac{4}{11}\)
Tìm x :
a) \(\left|x+\dfrac{11}{17}\right|+\left|x+\dfrac{2}{17}\right|+\left|x+\dfrac{4}{17}\right|=4x\)
b) \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+..+\left|x+\dfrac{1}{110}\right|=11x\)
Tính:
a) M = \(\frac{1}{1\times2\times3}\)+\(\frac{1}{2\times3\times4}\)+\(\frac{1}{3\times4\times5}\)+ .... +\(\frac{1}{48\times49\times50}\)
Các bạn ghi đầy đủ lời giải ra nhé!
