Thực hiện phép tính:
\(\frac{5^3.5^8}{25^4}\)
Bài1: Thực hiện phép tính
a) A=\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\) b) B=\(\frac{4^2.25^2+32.125}{2^3.5^2}\)
Bài 2: Thực hiện phép tính
a) \(\frac{3^{15}.25^5}{15^{10}.27^2}\) b) \(\frac{8^2.4^5}{2^{20}}\)
ngu dễ mà không biết làm mày là đồ con lợn
Dễ mà bạn
Thực hiện các phép tính:
a) \(A=4\frac{25}{16}+25\left(\frac{9}{16}:\frac{125}{64}\right):\frac{-27}{8}\)
b) \(C=\frac{2^3}{3.5}+\frac{2^3}{5.7}+\frac{2^3}{7.9}+...+\frac{2^3}{101.103}\)
a)Ta có:
\(A=4\frac{25}{16}+25\left(\frac{9}{16}:\frac{125}{64}\right):\frac{-27}{8}\)
\(\Rightarrow A=\frac{89}{16}+25.\frac{36}{125}:\frac{-27}{8}\)
\(\Rightarrow A=\frac{89}{16}+\frac{36}{5}:\frac{-27}{8}\)
\(\Rightarrow A=\frac{89}{16}+\frac{-32}{15}\)
\(\Rightarrow A=\frac{823}{240}\)
Vậy A=.....
b)Ta có:
\(C=\frac{2^3}{3.5}+\frac{2^3}{5.7}+\frac{2^3}{7.9}+...+\frac{2^3}{101.103}\)
\(\Rightarrow C=\frac{2^2.2}{3.5}+\frac{2^2.2}{5.7}+\frac{2^2.2}{7.9}+...+\frac{2^2.2}{101.103}\)
\(\Rightarrow C=2^2\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{101.103}\right)\)
\(\Rightarrow C=4\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+....+\frac{1}{101}-\frac{1}{103}\right)\)
\(\Rightarrow C=4\left(\frac{1}{3}-\frac{1}{103}\right)\)
\(\Rightarrow C=4.\frac{100}{309}\)
\(\Rightarrow C=\frac{400}{309}\)
Vậy C=.....
B, C=2^3/3.5 + 2^3/5.7+......+2^3/101.103
C= 2^3(1/3-1/5+1/5-1/7+....+1/101-1/103)
C=8(1/3-1/103)
C=8.100/309
C=800/309
VẬY C= 800/309
Thực hiện phép tính:
\(\frac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(\frac{8^{20}+4^{20}}{4^{25}+64^5}\)=\(\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}\)=\(\frac{2^{60}+2^{40}}{2^{50}+2^{30}}\)=\(\frac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}\)=\(\frac{2^{40}}{2^{30}}\)= 210
Thực hiên phép tính :
\(\frac{25^3.5^5}{6.5^{10}}\)
= \(\frac{5^6.5^5}{6.5^{10}}\) = \(\frac{5^{11}}{6.5^{10}}\)= \(\frac{5}{6}\)
\(\frac{25^3.5^5}{6.5^{10}}\)=\(\frac{5^{11}}{6.5^{10}}\)=\(\frac{5}{6}\)
ok 100% chính xác
\(\frac{25^3\cdot5^5}{6\cdot5^{10}}=\frac{25^3}{6\cdot5^5}\)
\(\frac{\left(5^2\right)^3}{6\cdot5^5}=\frac{5^6}{6\cdot5^5}=\frac{5}{6}\)
thực hiện phép tính:\(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{125^3.7^3+5^9.14^3}\)
thực hiện phép tính :\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
\(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
Phân tích từ số:
\(\frac{2^{12}.3^5-4^2.4^4.3^4}{2^{12}.3.3^5+4^2.4^4.3.3^4}=\frac{1}{6}\)
\(\frac{5^9.5.7^3-5^9.5.7^3.7}{5^9.7^3+5^9.2^3.7^3}=\frac{-10}{3}\)
Sau khi rút gọn là:
\(\frac{1}{6}-\left(-\frac{10}{3}\right)=\frac{1}{6}+\frac{10}{3}=\frac{7}{2}\)
Thực hiện phép tính :
A = \(\frac{1-3}{1.3}+\frac{2-4}{2.4}+\frac{3-5}{3.5}+..........+\frac{2012-2014}{2012.2014}-\frac{2013+2014}{2013.2014}\)
giúp mình nha
thực hiện phép tính:\(A=\frac{2^{12}\times4^6\times9^2}{2^{12}\times3^6+8^4\times3^5}-\frac{5^{10}\times7^3-25^2\times49^2}{125^3\times7^3+5^9\times14^3}\)
(6-14/5).25/8-8/5:1/4 thực hiện phép tính
\(\left(6-\frac{14}{5}\right).\frac{25}{8}-\frac{8}{5}:\frac{1}{4}\)
=\(\left(\frac{6}{1}+\frac{-14}{5}\right).\frac{25}{8}-\frac{8}{5}:\frac{1}{4}\)
=\(\frac{16}{5}.\frac{25}{8}-\frac{8}{5}:\frac{1}{4}\)
=\(\frac{16.25}{5.8}-\frac{8}{5}.\frac{4}{1}\)
=\(\frac{2.8.5.5}{5.8}-\frac{32}{5}\)
=\(2.5-\frac{32}{5}\)
=\(10-\frac{32}{5}\)
=\(\frac{10}{10}+\frac{-32}{5}\)
=\(\frac{10}{10}+\frac{-46}{10}\)
=\(\frac{-36}{10}\)
=\(\frac{18}{5}\)