(x * 25% - 22/3) * 2 1/3= 1 5/8
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bài 1)
a) \(\dfrac{\left(-3\right)^{10}.15^5}{25^3.\left(-9\right)^7}\)
\(=\dfrac{\left(-3\right)^{10}.\left(3.5\right)^5}{\left(5^2\right)^3.\left(-3.3\right)^7}\)
\(=\dfrac{\left(-3\right)^{10}.3^5.5^5}{5^6.\left(-3\right)^7.3^7}\)
\(=\dfrac{\left(-3\right)^3.1.1}{5.1.3^2}\)
\(=\dfrac{-27.1.1}{5.1.9}\)
\(=\dfrac{-27}{45}\)
\(=\dfrac{-9}{15}\)
b)\(2^3+3.\left(\dfrac{1}{9}\right)^0-2^{-2}.4\left[\left(-2\right)^2:\dfrac{1}{2}\right].8\)
\(=8+3.1-\dfrac{1}{2^2}.4+\left[\left(4:\dfrac{1}{2}\right)\right].8\)
\(=8+3.1-\dfrac{1}{4}.4+\left[4.\dfrac{2}{1}\right].8\)
\(=8+3.1-\dfrac{1}{4}.4+8.8\)
\(=8+3-1+64\)
\(=11-1+64\)
\(=10+64\)
\(=74\)
a, (-4) . (+125) . (-25) . 6 . (-8)
=[ (-4) . (-25) ] . [ (+125) . (-8) ] . 6
= 100 . (-1000) . 6
= -100 000 . 6
= -600 000
b, 122 . (-12345) + 12345 . (-78)
= 12345 . [ (-122) + (-78) ]
= 12345 . (-200)
= -2 469 000
giải:
\(\left(x\cdot\frac{1}{4}-\frac{22}{3}\right)\cdot\frac{21}{3}=\frac{15}{8}\)
\(x\cdot\frac{1}{4}-\frac{22}{3}=\frac{15}{8}:\frac{21}{3}\)
\(x\cdot\frac{1}{4}-\frac{22}{3}=\frac{15}{56}\)
\(x\cdot\frac{1}{4}=\frac{15}{56}+\frac{22}{3}\)
\(x\cdot\frac{1}{4}=\frac{1277}{168}\)
\(x=\frac{1277}{168}:\frac{1}{4}\)
\(x=\frac{1277}{42}\)