\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
thực hiện phép tính
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Những câu hỏi liên quan
text{Thực hiện các phép tính sau một cách hợp lý:}a) left(10^2+11^2+12^2right):left(13^2+14^2right)b) 1.2.3...9-1.2.3...8-1.2.3...7.8^2c) dfrac{left(3.4.2^{16}right)^2}{11.2^{13}.4^{11}-16^9}d) 1152-left(374+1152right)+left(-65+374right)e) 13-12+11+10-9+8-7-6+5-4+3+2-1
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\(\text{Thực hiện các phép tính sau một cách hợp lý:}\)
\(a\)) \(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)\)
\(b\)) \(1.2.3...9-1.2.3...8-1.2.3...7.8^2\)
\(c\)) \(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(d\)) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(e\)) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
Tính hợp lí phép tính sau
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{35}.2}\)
\(=\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)
\(=\frac{9.2^{35}.2}{2^{35}.9}\)
\(=2\)
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\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
= \(\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
= \(\frac{3^2.4^2.2^{32}}{11.2^{35}-2^{35}.2}\)
= \(\frac{3^2.2^4.2^{32}}{2^{35}.\left(11-2\right)}\)
= \(\frac{3^2.2^{36}}{2^{35}.9}\)
= \(\frac{9.2^{35}.2}{2^{35}.9}\)
= \(2\)
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\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
=\(\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
=\(\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)
=\(\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)
=\(\frac{3^2.2^{36}}{2^{35}.9}\)
=\(\frac{3^22^{36}}{2^{35}.3^2}\)
=2
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Thực hiện phép tính
B = \(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(B=\dfrac{3^2.4^2.2^{18}}{11.2^{13}.2^{22}-2^{36}}\)
\(B=\dfrac{3^2.2^{22}}{2^{35}\left(11-2\right)}\)
\(B=\dfrac{3^2}{2^{13}.9}\)
\(B=\dfrac{1}{2^{13}}=\dfrac{1}{8129}\)
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\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
= 3^2 . 2^4 . 2^32 / 11.2^13 .2^22 - 2^36
=3^2 . 2^36 / 11.2^35 - 2^36
=3^2 . 2^36 / 2^35 . ( 11+2)
= 9 . 2^36 / 2^35 . 13
= 9 . 2 / 13 = 18/13
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\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}=\frac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}=\frac{3^2.2^{36}}{11.2^{35}-2^{36}}=\frac{2^{35}\left(9+2\right)}{2^{35}\left(11-2\right)}=\frac{11}{9}\)
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\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)= ?
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.2^{36}}{11.2^{34}-2^{36}}\)
\(=\frac{3^2.2^{36}}{2^{34}.\left(11-2^2\right)}\)
\(=\frac{9.2^{36}}{2^{34}.7}\)
\(=\frac{36}{7}\)
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