A=\(\frac{\left(3.4.12^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
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TINH: (3.4.12^16)^2 phần 11.2^13 . 4^11-16^9
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
= 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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Rút gọn:
A=(3.4.12^16)^2/11.2^13.4^11-16^9
Tính A=\(\frac{\left(3.4.6^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(\frac{\left(3.4.6^{16}\right)^2}{11.2^{13}.4^{11}-16^9}=\frac{\left(3^2.4^2.6^{32}\right)}{11.2^{13}.2^{22}-2^{36}}=\frac{3^2.2^4.2^{32}.3^{32}}{11.2^{35}-2^{36}}=\frac{3^{34}.2^{36}}{2^{35}.\left(11-2\right)}=\frac{3^{34}.2}{9}\)
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\(\frac{\left(3.4.6^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.2^4.6^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3^2.2^4.2^{32}.3^{32}}{11.2^{35}-2^{36}}\)
\(=\frac{3^{34}.2^{36}}{2^{35}.\left(11-2\right)}\)
\(=\frac{3^{34}.2}{9}\)
\(=\frac{3^{34}.2}{3^2}\)
\(=3^{34-2}.2\)
\(=3^{32}.2\)
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