Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)
1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
a,\(\left(\dfrac{-2}{3}+\dfrac{3}{7}\right):\dfrac{4}{5}+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right):\dfrac{4}{5}\)
\(=\left(-\dfrac{2}{3}+\dfrac{3}{7}\right).\dfrac{5}{4}+\left(\dfrac{-1}{3}+\dfrac{4}{7}\right).\dfrac{5}{4}\)
\(=\left(\dfrac{-2}{3}+\dfrac{3}{7}+\dfrac{-1}{3}+\dfrac{4}{7}\right).\dfrac{5}{4}\)
\(=\left(-1+1\right).\dfrac{5}{4}=0\)
Chúc bạn học tốt!!!
Câu b làm tương tự!
a) Đoàn Đức Hiếu
b) \(\dfrac{5}{9}:\left(\dfrac{1}{11}-\dfrac{5}{22}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}\right)\)
\(=\dfrac{5}{9}:\left(-\dfrac{3}{22}\right)+\dfrac{5}{9}:\left(-\dfrac{3}{5}\right)\)
\(=-\dfrac{5}{9}\cdot\dfrac{22}{3}-\dfrac{5}{9}\cdot\dfrac{5}{3}\)
\(=-\dfrac{110}{27}-\dfrac{25}{27}\)
\(=-5\)
a)\(\frac{1}{4}.x=-\frac{1}{3}\)
\(x=-\frac{1}{3}:\frac{1}{4}\)
\(x=-\frac{4}{3}\)
b)\(-\frac{3}{7}+x=\frac{5}{8}\)
\(\text{ }x=\frac{5}{8}-\left(-\frac{3}{7}\right)\)
\(x=\frac{59}{56}\)
c)\(\frac{16}{2^x}=2\)
\(2^x=\frac{16}{2}\)
\(2^x=8\)
\(\Rightarrow2^x=2^3\)
vậy x=3
làm hộ tớ nhé
ngu the xcuiegudg
sao chửi người ta ngu có khi còn ngu hơn người ta nữa ở đó mà lên giọng
có thể vt số vs cả dấu đàng hoàng đc k=) , nhìn vậy trông nản quá:)))
[- \(\dfrac{2}{3}\)].\(\dfrac{3}{11}\) + [- \(\dfrac{16}{9}\)].\(\dfrac{3}{11}\)
= - \(\dfrac{3}{11}\).(\(\dfrac{2}{3}\) + \(\dfrac{16}{9}\))
= - \(\dfrac{3}{11}\).\(\dfrac{22}{9}\)
= - \(\dfrac{2}{3}\)
\(\dfrac{4}{9}\) : (- \(\dfrac{1}{7}\)) + 6\(\dfrac{5}{9}\) : (- \(\dfrac{1}{7}\))
= (\(\dfrac{4}{9}\) + 6\(\dfrac{5}{9}\)) : (- \(\dfrac{1}{7}\))
= 7 : (- \(\dfrac{1}{7}\))
= - 49
(\(\dfrac{1}{2}\) - \(\dfrac{13}{14}\)): \(\dfrac{5}{7}\) - ( - \(\dfrac{2}{11}\) + \(\dfrac{1}{7}\)):\(\dfrac{5}{7}\)
= [ \(\dfrac{1}{2}-\dfrac{13}{14}+\dfrac{2}{11}-\dfrac{1}{7}\)] : \(\dfrac{5}{7}\)
= [ - \(\dfrac{3}{7}\) + \(\dfrac{2}{11}\) - \(\dfrac{1}{7}\)]: \(\dfrac{5}{7}\)
= [ -(\(\dfrac{3}{7}+\dfrac{1}{7}\)) + \(\dfrac{2}{11}\)] : \(\dfrac{5}{7}\)
= [ - \(\dfrac{4}{7}+\dfrac{2}{11}]\) : \(\dfrac{5}{7}\)
= - \(\dfrac{30}{77}:\dfrac{5}{7}\)
= - \(\dfrac{6}{11}\)
\(\dfrac{15}{34}\) + \(\dfrac{7}{21}\) + \(\dfrac{19}{34}\) - 1,5 + \(\dfrac{2}{3}\)
= (\(\dfrac{15}{34}\) + \(\dfrac{19}{34}\)) + (\(\dfrac{7}{21}\) + \(\dfrac{2}{3}\)) - 1,5
= 1 + 1 - 1,5
= 2 - 1,5
= 0,5
16\(\dfrac{2}{7}\) : (- \(\dfrac{3}{5}\)) - 28\(\dfrac{2}{7}\) : (- \(\dfrac{3}{5}\))
= (`16\(\dfrac{2}{7}\) - 28\(\dfrac{2}{7}\)) :(- \(\dfrac{3}{5}\))
= (16 + \(\dfrac{2}{7}\) - 28 - \(\dfrac{2}{7}\)) : (-\(\dfrac{3}{5}\))
= [ (16 - 28) + (\(\dfrac{2}{7}-\dfrac{2}{7}\))] : (- \(\dfrac{3}{5}\))
= [-12 + 0]: (- \(\dfrac{3}{5}\))
= -12 : (- \(\dfrac{3}{5}\))
= 20
(-2)3.(\(\dfrac{3}{4}\) - 0,25) : (2\(\dfrac{1}{4}\) - 1\(\dfrac{1}{6}\))
= -8.(0,75 - 0,25) : (\(\dfrac{9}{4}-\dfrac{7}{6}\))
= -8.0,5 : \(\dfrac{13}{12}\)
= - 4 : \(\dfrac{13}{12}\)
=- \(\dfrac{48}{13}\)
0,4 .\(\sqrt{100}\) - 3.(-\(\dfrac{1}{3}\))2
= 0,4.10 - \(\dfrac{1}{3}\)
= 4 - \(\dfrac{1}{3}\)
= \(\dfrac{11}{3}\)