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\(a,\frac{5}{3}-\frac{2}{3}.x=1\)
\(\frac{5}{3}-1=\frac{2}{3}.x\)
\(\frac{2}{3}=\frac{2}{3}.x\)
\(x=\frac{2}{3}:\frac{2}{3}\)
\(x=1\)
\(b,\frac{4}{5}+\frac{5}{7}.x=\frac{1}{6}\)
\(\frac{5}{7}.x=\frac{1}{6}-\frac{4}{5}\)
\(\frac{5}{7}.x=-\frac{19}{30}\)
\(x=-\frac{19}{30}:\frac{5}{7}\)
\(x=-\frac{133}{150}\)
Có \(\frac{5^2}{3.8}+\frac{5^2}{8.13}+\frac{5^2}{13.18}+.....+\frac{5^2}{88.93}\)
=\(\frac{5.5}{3.8}+\frac{5.5}{8.13}+\frac{5.5}{13.18}+...+\frac{5.5}{88.93}\)
= \(5\left(\frac{5}{3.8}+\frac{5}{8.13}+\frac{5}{13.18}+...+\frac{5}{88.93}\right)\)
=\(5\left(\frac{1}{3}-\frac{1}{8}+\frac{1}{8}-\frac{1}{13}+\frac{1}{13}-\frac{1}{18}+.....+\frac{1}{88}-\frac{1}{93}\right)\)
=\(5\left(\frac{1}{3}-\frac{1}{93}\right)=\frac{50}{31}\)
\(2^3.3-13.2^4+3.8\)
\(2^3.3-13.2.2^3+3.2^3\)
\(2^3.3-26.2^4+3.2^3\)
\(=2^3\left(3-26+3\right)\)
\(=2^3.\left(-20\right)\)
\(=\left(-160\right)\)
a) \(3^6.3^7\) \(=3^{13}\)
b) \(x^{10}:x^6:x\)
\(=x^{10}:x^7\)\(=x^3\)
c) \(a^5.a^9=a^{14}\)
\(a,=3^{6+7}=3^{13}\\ b,=x^{10-6-1}=x^3\\ c,=a^{5+9}=a^{14}\\ d,=2^3\cdot2^{15}\cdot2^{16}=2^{34}\\ e,=5^6\cdot5^5\cdot5^5=5^{16}\\ f,=a^{10+4-12}=a^2\)
(-2).x=3.8
(-2).x=24
x=24:(-2)
x=(-12)