tính :
\(M=\left[0,\left(5\right).0,\left(2\right)\right]:\left(3\frac{1}{3}:\frac{33}{25}\right)-\left[0,4.1,\left(3\right)\right]:1,\left(3\right)\)
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\(4.\left(\frac{1}{4}\right)^2+25\left[\left(\frac{3}{4}\right)^3:\left(\frac{5}{4}\right)^3\right]:\left(\frac{3}{2}\right)^3=4.\frac{1}{16}+25\left(\frac{27}{64}.\frac{64}{125}\right).\frac{8}{27}\)
\(=\frac{1}{4}+25.\frac{27}{125}.\frac{8}{27}=\frac{1}{4}+\frac{8}{5}=\frac{37}{20}\)
\(2^3+3\left(\frac{1}{2}\right)^0-1+\left[\left(-2\right)^2:\frac{1}{2}\right]-8=8+3-1+4.2-8=10\)
a) \(\left(-\frac{1}{4}\right)^0=1\)
b) \(\left(-2\frac{1}{3}\right)^2=\left(-\frac{7}{3}\right)^2=\frac{49}{9}\)
c) \(\left(\frac{4}{5}\right)^{-2}=\frac{25}{16}\)
d) \(\left(0,5\right)^{-3}=8\)
e) \(\left(-1\frac{1}{3}\right)^4=\left(-\frac{4}{3}\right)^4=\frac{256}{81}\)
a, \(\left(\frac{-1}{4}\right)^0\) = 1
Bất kỳ số nguyên nào nếu có mũ bằng 0 đều bằng 1
b, \(\left(-2\frac{1}{3}\right)^2=\left(-\frac{7}{3}\right)^2=\frac{49}{9}\)
\(M=\left[0,\left(5\right).0,\left(2\right)\right]:\left(3\frac{1}{3}:\frac{33}{25}\right)-\left[0,4.1,\left(3\right)\right]:1,\left(3\right)=\left(\frac{5}{9}\cdot\frac{2}{9}\right):\left(\frac{10}{3}\cdot\frac{25}{33}\right)-\left(\frac{2}{5}\cdot\frac{4}{3}\right):\frac{4}{3}\)
=\(\frac{10}{81}:\frac{250}{99}-\frac{8}{15}\cdot\frac{3}{4}=\frac{10}{99}\cdot\frac{99}{250}-\frac{2}{5}=\frac{1}{25}-\frac{10}{25}=-\frac{9}{25}\)
Sao có thánh tính nhanh dữ vậy?