\(\frac{4}{9}:\left(\frac{-1}{7}\right)+6\frac{5}{9}.\left(\frac{2}{3}\right)\)
=\(\frac{4}{9}.\left(-7\right)+\frac{59}{9}.\frac{2}{3}\)
=\(\frac{-14}{9}+\frac{118}{27}\)
=\(\frac{57}{27}+\frac{118}{27}\)
=\(\frac{175}{27}\)
\(\frac{4}{9}:\left(\frac{-1}{7}\right)+6\frac{5}{9}.\left(\frac{2}{3}\right)\)
=\(\frac{4}{9}.\left(-7\right)+\frac{59}{9}.\frac{2}{3}\)
=\(\frac{-14}{9}+\frac{118}{27}\)
=\(\frac{57}{27}+\frac{118}{27}\)
=\(\frac{175}{27}\)
D=(\(\frac{-1}{9}^3\)).\(a^6\).\(b^9\).\(c^3\)
D= \(\left(\frac{-1}{729}\right)\).\(a^6.b^9.c^3\)
\(S^2:\)
\(\left(\frac{-1}{5}\right)^{300}\)và \(\left(\frac{-1}{3}\right)^{500}\)
Tìm x:
a/\(\left(\dfrac{12}{25}\right)^x\)=\(\left(\dfrac{3}{5}\right)^2-\left(-\dfrac{3}{5}\right)^4\)
b/\(\left(-\dfrac{3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
c/172\(x^2-7^9:98^3=2^{-3}\)
Tìm x:
a/\(\left(5x+1\right)^2=\dfrac{36}{49}\)
b/\(\left(x-\dfrac{2}{9}\right)^3=\left(\dfrac{2}{3}\right)^6\)
c/\(\left(8x+1\right)^{2n+1}=5^{2n+1}\left(n\in N\right)\)
Viết dưới dạng lũy thừa của một số nguyên:
a/\(12^3:\left(3^{-4}.64\right)\)
b/\(\left(\dfrac{3}{7}\right)^5.\left(\dfrac{7}{3}\right)^{-1}.\left(\dfrac{5}{3}\right)^6:\left(\dfrac{343}{625}\right)^{-2}\)
c/\(5^4.125.\left(2,5\right)^{-5}.0,04\)
1: Tính hợp lí:
a, \(\dfrac{11}{125}\)- \(\dfrac{17}{18}-\dfrac{5}{7}+\dfrac{4}{9}\)+ \(\dfrac{17}{14}\)
b,\(-1\dfrac{5}{7}.15+\dfrac{2}{7}.\left(-15\right)+\left(-105\right).\left(\dfrac{2}{3}-\dfrac{4}{5}+\dfrac{1}{7}\right)\)
2: Tìm x:
a, \(\dfrac{11}{13}-\left(\dfrac{5}{42}-x\right)=-\left(\dfrac{15}{28}-\dfrac{11}{13}\right)\)
b,\(|x+\dfrac{4}{15}|-|-3,75|=-|-2,15|\)
c, \(^{7^{x+2}}+2.7^{x-1}=345\)
tìm x
a) x+10=25
b)\(\frac{2}{3}\)x-\(\frac{1}{2}\)=\(\frac{1}{10}\)
c)\(\frac{x}{7}\)=\(\frac{-6}{21}\)
d)|\(\frac{2}{3}\)x-\(\frac{1}{2}\)|=\(\frac{5}{6}\)
Bài 1: a) Tính tổng \(M=3\frac{1}{417}.\frac{1}{762}-\frac{1}{139}.4\frac{761}{762}-\frac{4}{417.762}+\frac{5}{139}\)
b, Tính giá trị của đa thức sai tại x=-1 : \(x^2+x^4+x^6+x^8+....+x^{100}\)
a/Tìm GTNN của biểu thức A=\(\left(2x+\dfrac{1}{3}\right)^4-1\)
b/Tìm GTLN của biểu thức B=\(-\left(\dfrac{4}{9}x-\dfrac{2}{15}\right)^{2018}+3\)