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a, (\(\dfrac{9}{4}\))5 : (\(\dfrac{1}{4}\))5
= (\(\dfrac{9}{4}\) : \(\dfrac{1}{4}\))5
= 95
= 59049
b, 182 : 92
= (18:9)2
= 22
= 4
c, [(-2)\(^4\)]3
= 212
= 4096
d, 57.(\(\dfrac{1}{5}\))7
= (5.\(\dfrac{1}{5}\))7
= 17
= 1
e, (6,5)3: (6,5)2
= 6,5
Ta có: \(\dfrac{3}{4}-\left[\left(-\dfrac{3}{5}\right)-\left(\dfrac{1}{12}+\dfrac{2}{9}\right)-\left(-\dfrac{2}{9}-\dfrac{5}{3}\right)\right]\)
\(=\dfrac{3}{4}-\left(-\dfrac{3}{5}-\dfrac{1}{12}-\dfrac{2}{9}+\dfrac{2}{9}+\dfrac{5}{3}\right)\)
\(=\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{1}{12}-\dfrac{5}{3}\)
\(=\dfrac{45}{60}+\dfrac{36}{60}+\dfrac{5}{60}-\dfrac{100}{60}\)
\(=\dfrac{-14}{60}=\dfrac{-7}{30}\)
\(\dfrac{4}{5}-\dfrac{2}{9}\times\left(-3\right)^2+\dfrac{9}{2}\div3\)
\(=\dfrac{4}{5}-\dfrac{2}{9}\times9+\dfrac{3}{2}\)
\(=\dfrac{4}{5}-2+\dfrac{3}{2}\)
\(=-\dfrac{6}{5}+\dfrac{3}{2}\)
\(=\dfrac{3}{10}\)
\(\dfrac{4}{5}-\dfrac{2}{9}.\left(-3\right)^2+\dfrac{9}{2}:3\)
\(=\dfrac{4}{5}-\dfrac{2}{9}.9+\dfrac{9}{2}.\dfrac{1}{3}\)
\(=\dfrac{4}{5}-2+\dfrac{3}{2}\)
\(=\dfrac{8}{10}-\dfrac{20}{10}+\dfrac{15}{10}\)
\(=\dfrac{3}{10}\)
a) \(\frac{4}{3}-\frac{2}{5}\)
\(=\frac{20}{15}-\frac{6}{15}=\frac{14}{15}\)
b) \(\left|-\frac{1}{10}\right|-\left(-\frac{1}{3}\right)^2\div\frac{5}{9}\)
\(=\frac{1}{10}-\frac{1}{9}\cdot\frac{9}{5}\)
\(=\frac{1}{10}-\frac{1}{5}=\frac{1}{10}-\frac{2}{10}\)
\(=-\frac{1}{10}\)
c) Đề bài có vấn đề!!!
d) \(\left(-0,2\right)^2\cdot5-8^2\cdot\frac{9^4}{3^7}\cdot4^3\)
\(=0,04\cdot5-64\cdot\frac{\left(3^2\right)^4}{3^7}\cdot64\)
\(=0,2-4096\cdot\frac{3^8}{3^7}=0,2-4096\cdot3\)
\(=0,2-12288=-128878\)
\(=\frac{3}{2}\)
hok tốt
=(3/2)^5:(3/2)^4
=3/2