\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
giải giúp mình với. đề bài là làm bằng cách hợp lý.mình cần gấp
\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
giúp mình giải với
\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\dfrac{\left(3.2^2.2^{16}\right)^2}{11.2^2.\left(2^2\right).11-\left(2^4\right)^9}\)
\(=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^2.2^{22}-2^{36}}\)
\(=\dfrac{3^2.2^4.2^{32}}{11.2^{24}-2^{36}}\)
\(=\dfrac{3^2.2^{34}}{11.2^{24}-2^{36}}\)
\(=\dfrac{3^2.2^{24}.2^{10}}{11.2^{24}-2^{12}.2^{24}}\)
\(=\dfrac{3^2.2^{24}.2^{10}}{\left(11-2^{12}\right).2^{24}}\)
\(=\dfrac{3^2.2^{10}}{11-2^{12}}\)
Tính bằng cách hợp lí
\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\dfrac{3^2\cdot2^{36}}{11\cdot2^{13}\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^{36}}{2^{35}\cdot9}=2\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
Giúp mình với! Nhớ ghi cả cách giải nữa nhé.
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^{19}}\)
\(\Leftrightarrow\)\(\frac{3^2.\left(2^2\right)^2.2^{16.2}}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^{19}}\)
\(\Leftrightarrow\)\(\frac{2^4.2^{32}.3^2}{11.2^{35}-2^{76}}\)
\(\Leftrightarrow\)\(\frac{2^{36}.3^2}{2^{35}.\left(11-2^{41}\right)}\)
\(\Leftrightarrow\)\(\frac{2.3^2}{11-2^{41}}\)
Hết biết giải rồi
\(\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)\(=\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}=\frac{3^2.2}{9}=\frac{3^2.2}{3^2}=2\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\)\(\frac{3^2.2^{2.2}.2^{16.2}}{11.2^{13}.2^{11.2}-2^{4.9}}\)
\(=\)\(\frac{2^{36}.3^2}{11.2^{35}-2^{36}}\)
\(=\)\(\frac{2^{36}.3^2}{2^{35}.\left(11-2\right)}\)
\(=\)\(\frac{2.3^2}{9}\)
\(=\)\(\frac{2.3^2}{3^2}\)
\(=\)\(2\)
\(\text{Thực hiện các phép tính sau một cách hợp lý:}\)
\(a\)) \(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)\)
\(b\)) \(1.2.3...9-1.2.3...8-1.2.3...7.8^2\)
\(c\)) \(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(d\)) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(e\)) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
a)\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
b) \(\frac{135.269-133}{134.269+135}\)
Đề bài là tính hợp lí giúp mk nha !
a)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.4^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)
\(=\frac{3^2.\left(2^2\right)^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)
\(=\frac{9.2.2^{35}}{11.2^{35}-2.2^{35}}\)
\(=\frac{18.2^{35}}{2^{35}.\left(11-2\right)}\)
\(=\frac{18.2^{35}}{2^{35}.9}\)
\(=\frac{18}{9}\)
\(=2\)
tính hợp lí
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.4^2.2^{32}}{11.2^{35}-2^{36}}\)
\(=\frac{3^2.4^2.2^{32}}{2^{35}\left(11-2\right)}\)
\(=\frac{3^2.4^2.2^{32}}{2^{35}.3^2}\)
\(=\frac{4^2}{2^3}\)
\(=\frac{2^4}{2^3}\)
\(=2\)
Hk tốt
Tính bằng cách hợp lí
(3.4.2^16)/11.2^13.4^11-16^9 các bạn ơn giúp minh với minh đang gấp nhớ ghi cách giải cho minh với nhé
Thực hiện phép tính
B = \(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(B=\dfrac{3^2.4^2.2^{18}}{11.2^{13}.2^{22}-2^{36}}\)
\(B=\dfrac{3^2.2^{22}}{2^{35}\left(11-2\right)}\)
\(B=\dfrac{3^2}{2^{13}.9}\)
\(B=\dfrac{1}{2^{13}}=\dfrac{1}{8129}\)
\(A=\frac{\left(3.4.2^{16}\right)^{^2}}{11.2^{13}.4^{11}-16^9}=?\)
Giúp mình câu nì nha