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\(\frac{-1}{12}-\left(2\frac{5}{8}-\frac{1}{3}\right)\)
\(=\frac{-1}{12}-\left(\frac{21}{8}-\frac{1}{3}\right)\)
\(=\frac{-1}{12}-\left(\frac{63}{24}-\frac{8}{24}\right)\)
\(=\frac{-1}{12}-\frac{55}{24}\)
\(=\frac{-2}{24}-\frac{55}{24}\)
\(=\frac{-19}{8}\)
\(\frac{36^4.36^3}{6^{12}}=\frac{36^{4+3}}{\left(6^2\right)^6}=\frac{36^7}{36^6}=36.\)
15^3+5.15^2-5^3 / 18^3+6.18^2-6^3
=3375+5.225-125 /5832+6.324-216
=3375+1125-125 /5832+1944-216
=4500-125 /7826-216
=4375 /7610
=875 /1522
mk ko bt viết phần nên viết phần bằng dấu gạch / nhé.mk cx ko bt đúng hay sai đâu nhé
\(\frac{28^{15}\cdot3^{17}}{84^{16}}\)
\(=\frac{4^{15}\cdot7^{15}\cdot3^{17}}{4^{16}\cdot7^{16}\cdot3^{16}}\)
\(=\frac{4\cdot1\cdot3}{1\cdot7\cdot1}\)
\(\frac{12}{7}\)
a, \(\left(\frac{1}{5}-\frac{1}{4}\right)^2=\left(\frac{-1}{20}\right)^2=\frac{1}{400}\)
b, \(\left(\frac{5}{3}+\frac{1}{2}\right):\frac{-13}{5}+1\frac{5}{6}\)
=> \(\frac{13}{6}:\frac{-13}{5}+\frac{11}{6}\)
=> \(\frac{13}{6}.\frac{5}{-13}+\frac{11}{6}\)
=> \(\frac{-5}{6}+\frac{11}{6}=\frac{6}{6}=1\)
c, \(\left(\frac{3}{17}\right)^4.\left(\frac{-17}{6}\right)^4\)
=> \(\left(\frac{3}{17}.\frac{-17}{6}\right)^4=\left(\frac{-1}{2}\right)^4=\frac{1}{16}\)
a: \(=\left(\dfrac{5}{15}-\dfrac{12}{9}\right)+\left(\dfrac{14}{15}+\dfrac{11}{25}\right)+\dfrac{2}{7}\)
\(=\left(\dfrac{1}{3}-\dfrac{4}{3}\right)+\dfrac{70+33}{75}+\dfrac{2}{7}\)
\(=-1+\dfrac{2}{7}+\dfrac{103}{75}=\dfrac{-5}{7}+\dfrac{103}{75}=\dfrac{346}{525}\)
b: \(4\cdot\left(-\dfrac{1}{2}\right)^3+\dfrac{1}{2}\)
\(=4\cdot\dfrac{-1}{8}+\dfrac{1}{2}=\dfrac{-1}{2}+\dfrac{1}{2}=0\)
c: \(\dfrac{10^3+5\cdot10^2+5^3}{6^3+3\cdot6^2+3^3}=\dfrac{5^3\cdot8+5\cdot5^2\cdot2^2+5^3}{3^3\cdot2^3+3\cdot2^2\cdot3^2+3^3}\)
\(=\dfrac{5^3\left(8+4+1\right)}{3^3\left(8+4+1\right)}=\dfrac{125}{27}\)
e: \(\dfrac{2^8\cdot9^2}{6^4\cdot8^2}=\dfrac{2^8\cdot3^4}{3^4\cdot2^4\cdot2^6}=\dfrac{1}{4}\)
38.162/124.83
= 38.(24)2/(22.3)4.(23)3
= 38.28/28.34.29
=34/29
=81/512
\(\frac{3^8\cdot16^2}{12^4\cdot8^3}\)
\(=\frac{3^8\cdot2^8}{3^4\cdot2^8\cdot2^9}\)
\(=\frac{81}{512}\)