tính
\(^{\frac{2^4\cdot2^6}{\left(2^5\right)^2}-\frac{2^5\cdot15^3}{6^3\cdot10^2}}\)
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\(\frac{2^{6+4}}{2^{10}}.\frac{2^5.3^3.5^2.5}{2^3.3^3.5^2.2^5}=1-5=-4\)
Biểu thức = \(\frac{2^{4+6}}{2^{5.2}}\)-\(\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}\) = \(\frac{2^{10}}{2^{10}}\)- \(\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}\)
=1-\(\frac{2^5.3^3.5^3}{2^5.3^3.5^2}\)
=1-5
=-4
A) \(=\frac{\left(-1\right).2^{17}.5^6.3^{12}}{2^{16}.5^53^{13}}=\frac{10}{3}\)
B) Tương tự câu A bạn tự làm nha
H=\(\frac{1\cdot2\cdot3+2\cdot4\cdot6+3\cdot6\cdot9+5\cdot10\cdot15}{1\cdot3\cdot6+2\cdot6\cdot12+3\cdot9\cdot18+5\cdot15\cdot30}=\frac{1.2.3+2^3.\left(1.2.3\right)+3^3.\left(1.2.3\right)+5^3.\left(1.2.3\right)}{1.3.6+2^3.\left(1.3.6\right)+3^3.\left(1.3.6\right)+5^3.\left(1.3.6\right)}=\frac{1.2.3.\left(1+2^3+3^3+5^3\right)}{1.3.6.\left(1+2^3+3^3+5^3\right)}=\frac{2}{6}=\frac{1}{3}\)
a, Tự chép đề bài ((:
\(=\frac{1}{9}\cdot1+\left(-\frac{1}{243}\right)\cdot\frac{9}{2}\)
\(=\frac{1}{9}-\frac{1}{54}\)
\(=\frac{5}{54}\)
b, 1. \(\left(\frac{2^2\cdot2^3}{4^2\cdot16}\right)^{15}\)
\(=\left(\frac{2^5}{2^4\cdot2^4}\right)^5=\left(\frac{2^5}{2^8}\right)^5=\left(\frac{1}{2^3}\right)^5=\left(\frac{1}{8}\right)^5=\frac{1}{8^5}\)(Để vậy đi :v)
2. \(\left(\frac{2^6}{16^2}\right)^{10}\)
\(=\left(\frac{2^6}{2^8}\right)^{10}=\left(\frac{1}{2^2}\right)^{10}=\frac{1}{2^{20}}\)
c, \(\frac{2^{15}\cdot9^4}{6^6\cdot8^3}\)
\(=\frac{2^{15}\cdot\left(3^2\right)^4}{\left(2\cdot3\right)^6\cdot\left(2^3\right)^3}=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=\frac{2^{15}\cdot3^8}{2^{15}\cdot3^6}=\frac{3^2}{1}=3^2=9\)
\(0,8\cdot2\frac{2}{3}\cdot10\cdot0,375\cdot\left(\frac{-5}{8}\right)\)
\(=\frac{4}{5}\cdot\frac{8}{3}\cdot10\cdot\frac{3}{8}\cdot\left(\frac{-5}{8}\right)\)
\(=\left(\frac{8}{3}\cdot\frac{3}{8}\right)\cdot\left(\frac{4}{5}\cdot10\right)\cdot\left(\frac{-5}{8}\right)\)
\(=1\cdot8\cdot\left(\frac{-5}{8}\right)\)
\(=8\cdot\left(\frac{-5}{8}\right)\)
\(=-5\)
~Học tốt~
từ 2^4.2^6/(2^5)^2-2^5.15^3/6^3.10^2=2^10/2^10-2^5.3^3.5^3/2^3.3^3.2^2.5^2=1-5=-4
bạn viết ra cho dễ nhìn
=2^4.2^6/2^10-2^5.(3.5)^3/(2.3)^3.(2.5)^2
=2^10/2^10-2^5.3^3.5^3/2^3.3^3.2^2.5^2
=1-5
=-4