Tinh nhanh: \(\left(4\times2^5\right)\div\left(2^3\times\frac{1}{16}\right)\)
Viết các biểu thức sau dưới dạng \(a^n\)(a thuộc Q, n thuộc N)
a) \(9\times3^3\times\frac{1}{81}\times3^2\)
b) \(4\times2^5\div\left(2^3\times\frac{1}{16}\right)\)
c) \(3^2\times2^5\times\left(\frac{2}{3}\right)^2\)
d) \(\left(\frac{1}{3}\right)^2\times\frac{1}{9}\times9^2\)
\(\frac{-5\times2^{13}\times\left(-4^{11}\right)-16^9}{\left(-3\times2^{17}\right)^2}\)
ai làm nhanh nhất mình cho tick lun
Tính nhanh :
A = \(\frac{1,25\times10\div0,25\times24,4\times2}{6,1\times2\times6,25\times4\div0,5}+\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right).........\left(1-\frac{1}{19}\right)\times\left(1-\frac{1}{20}\right)\)
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\(A=\frac{1.25.10:0,25.24,4.2}{6,1.2.6,25.4:0,5}.\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)\times...\times\left(1-\frac{1}{19}\right).\left(1-\frac{1}{20}\right)\)
\(A=\frac{50.48,8}{6,1.100}\times\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{18}{19}\times\frac{19}{20}\)
\(A=\frac{4}{1}\times\frac{1}{1}\times\frac{1}{20}\)
\(A=\frac{4}{20}\)
Tính:
\(\frac{0,8\div\left(\frac{4}{5}\times1,25\right)}{0,64-\frac{1}{25}}+\frac{\left(1,08-\frac{2}{5}\right)\div\frac{4}{7}}{\left(6\frac{5}{9}-3\frac{1}{4}\right)\times2\frac{2}{17}}+\left(1,2\times0,5\right)\div\frac{4}{5}\)
giúp mình với nhé mn, nhanh nha mình cần gấp
ta có:4/5:(4/5*5/4)/16/25-1/25+(27/25-2/25):4/7/(59/9-13/4)*36/17+6/5*1/2
=4/5:3/5+7/4:7+3/5
=4/3+1/4+3/5
=3/2+3/5=21/10
\(4\times\left(\frac{1}{4}\right)^2+25\times\left[\left(\frac{3}{4}\right)^3\div\left(\frac{5}{4}\right)^3\right]\div\left(\frac{3}{2}\right)^3\)
\(2^3+3\times\left(\frac{1}{2}\right)^0-1+\left[\left(-2\right)^2\div\frac{1}{2}\right]-8\)
\(4.\left(\frac{1}{4}\right)^2+25\left[\left(\frac{3}{4}\right)^3:\left(\frac{5}{4}\right)^3\right]:\left(\frac{3}{2}\right)^3=4.\frac{1}{16}+25\left(\frac{27}{64}.\frac{64}{125}\right).\frac{8}{27}\)
\(=\frac{1}{4}+25.\frac{27}{125}.\frac{8}{27}=\frac{1}{4}+\frac{8}{5}=\frac{37}{20}\)
\(2^3+3\left(\frac{1}{2}\right)^0-1+\left[\left(-2\right)^2:\frac{1}{2}\right]-8=8+3-1+4.2-8=10\)
\frac{\left(\frac{2}{5}\right)^7\times 5^{7\:}+\left(\frac{9}{4}\right)^3\div \left(\frac{3}{16}\right)^3}{2^7\times 5^2+512}
Tính nhanh : \(\frac{1}{8}\div12,5\%+\left(\frac{1\times2\times3+6\times4\times2}{5\times3\times1+5\times15\times25}+\frac{1}{2}\div50\%\right)-\left(\frac{1}{16}\div6,25\%+\frac{3+2+1+2+4+6}{1+3+5+25+15+5}\right)-\frac{1}{4}\div25\%\)
\(\frac{1}{8}=12,5\%\) ; \(\frac{1}{16}=6,25\%\) ; \(\frac{1}{2}=50\%\) ; \(\frac{1}{4}=25\%\)
Thay vào trên mà tính.
= \(1+\left(\frac{3\left(1x2+2x4x2\right)}{3\left(5+5x3x25\right)}+1\right)-\left(1+\frac{18}{54}\right)-1\) = \(\frac{18}{380}-\frac{18}{54}\)
Tính
\(\frac{1}{2}\times\left(\frac{3}{4}+\frac{8}{9}-\frac{1}{2}\right)=\)
\(\frac{3}{4}:\frac{4}{5}+\left(\frac{3}{4}\times2\right)\)=
ai nhanh mk k
\(a,\frac{1}{2}.\left(\frac{27}{36}+\frac{32}{36}-\frac{1}{2}\right)=\frac{1}{2}.\left(\frac{59}{36}-\frac{1}{2}\right)=\frac{1}{2}.\left(\frac{59}{36}-\frac{18}{36}\right)=\frac{1}{2}.\frac{41}{36}=\frac{1.41}{2.36}=\frac{41}{72}.\)
\(b,\frac{3.5}{4.4}+\frac{3.2}{4.1}=\frac{15}{16}+\frac{6}{4}=\frac{15}{16}+\frac{24}{16}=\frac{39}{16}\)
= nhae
=công chúa vô tư
Tính nhanh\(A=1+\frac{1}{2}\times\left(1+2\right)+\frac{1}{3}\times\left(1+2+3\right)+\frac{1}{4}\times\left(1+2+3+4\right)+...+\frac{1}{16}\times\left(1+2+...+16\right)\)
\(A=1+\frac{1}{2}.\left(1+2\right)+\frac{1}{3}.\left(1+2+3\right)+...+\frac{1}{16}.\left(1+2+...+16\right)\)
\(=1+\frac{1}{2}.2.3:2+\frac{1}{3}.3.4:2+...+\frac{1}{16}.16.17:2=1+\frac{3}{2}+\frac{4}{2}+...+\frac{17}{2}=\frac{2+3+4+...+17}{2}=\frac{152}{2}=76\)