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a) (-0,125)3 . (-8) = (-0,125). (-0,125)2 . (-8) = [(-0,125) . (-8)] . (-0,125)2 = 1.1/64 = 1/64
b) \(\frac{27^{15}}{9^{21}}=\frac{\left(3^3\right)^{15}}{\left(3^2\right)^{21}}=\frac{3^{45}}{3^{42}}=3^3=27\)
c) \(\left(-2,5\right)^3+\frac{2496^5}{\left(-832\right)^5}-\frac{98^{17}}{98^{16}}=-\frac{125}{8}+\left(-243\right)-98=-\frac{2853}{8}\)
d) \(\left(1-\frac{1}{3}-\frac{1}{6}\right)^2\cdot\left(16^{37}:2^{145}-1963^0\right)=\left(\frac{6}{6}-\frac{2}{6}-\frac{1}{6}\right)^2\left(16^{37}:2^{145}-1963^0\right)\)
\(\left(\frac{1}{2}\right)^2\cdot7=\frac{1}{4}\cdot7=\frac{7}{4}\)
a) \(\left(-0,125\right)^3.\left(-8\right)=\left(\frac{-1}{8}\right)^3.\left(-8\right)=\left(\frac{-1}{8}\right)^3\div\left(\frac{-1}{8}\right)=\left(\frac{-1}{8}\right)^2=\frac{1}{64}\)
b) \(27^{15}\div9^{21}=\left(3^3\right)^{15}\div\left(3^2\right)^{21}=3^{45}\div3^{42}=3^3=27\)
c) \(\left(-2,5\right)^3+2496^5\div\left(-832\right)^5-98^{17}\div98^{16}=\left(\frac{-5}{2}\right)^3-3^5-98\)
\(=\left(\frac{-125}{8}\right)-243-98=\frac{-2853}{8}\)
d) \(\left(1-\frac{1}{3}-\frac{1}{6}\right).\left(16^{37}\div2^{125}-1963^0\right)=\frac{1}{2}.\left[\left(2^4\right)^{37}\div2^{125}-1\right]\)
\(=\frac{1}{2}.\left[2^{148}\div2^{125}-1\right]=\frac{1}{2}.\left[2^{23}-1\right]=\frac{2^{23}-1}{2}\)
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A)0,25:(10,3-9,8)-3/4
=1/4:(103/10-49/5)-3/4
=1/4:1/2-3/4
=1/2-3/4
=2/4-3/4
=-1/4
B)-5/9.13/28-13/28.4/9
=-5/9-4/9.13/28
=-1.13/28
=-13/28
c)6/7+5/8:5-3/16
=6/7+1/8-3/16
=55/56-3/16
=89/112
d)-5/7.2/11+-5/7.9/11+1/5/7
=-5/7.(2/11+9/11)+12/7
=-5/7.1+12/7
=-5/7+12/7
=1
e)-7/12-8/15+11/20
=-67/60+11/20
=-17/30
f)-17/25.20/33+-17/25.13/33+-3/25
=-17/25.(20/33+13/33)-3/25
=-17/25.1-3/25
=-17/25-3/25
=-4/5
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8)\(\frac{4}{9}:\left(-\frac{1}{7}\right)+6\frac{5}{9}:\left(-\frac{1}{7}\right)\)
=\(\frac{4}{9}:\left(-\frac{1}{7}\right)+\frac{59}{9}:\left(-\frac{1}{7}\right)\)
=\(\left(\frac{4}{9}+\frac{59}{9}\right).\left(-7\right)\)
=7.(-7)
=-49
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Bài 1:
1. \(\left(\frac{1^5}{2}\right):\left(\frac{1^8}{2}\right)\)\(=\frac{1^5:1^8}{2:2}=\frac{1}{1}=1.\)
Mình chỉ làm bài 1 thôi nhé.
Chúc bạn học tốt!