\(=\dfrac{3^2\cdot2^{36}}{11\cdot2^{13}\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^{36}}{2^{35}\cdot9}=2\)

(3.4.2^16)^2/11.2^13.4^11.16^9.=18/9=2

tui nói đúng  đó

\(\dfrac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}=\dfrac{\left(3\cdot2^2\cdot2^{16}\right)^2}{11\cdot2^2\cdot\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(=\dfrac{3^2\cdot\left(2^2\right)^2\cdot\left(2^{16}\right)^2}{11\cdot2^2\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^4\cdot2^{32}}{11\cdot2^{24}-2^{36}}\)

\(=\dfrac{3^2\cdot2^{34}}{11\cdot2^{24}-2^{36}}=\dfrac{3^2\cdot2^{24}\cdot2^{10}}{11\cdot2^{24}-2^{12}\cdot2^{24}}\)

\(=\dfrac{3^2\cdot2^{24}\cdot2^{10}}{\left(11-2^{12}\right)\cdot2^{24}}=\dfrac{3^2\cdot2^{10}}{11-2^{12}}\)

\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\dfrac{\left(3.2^2.2^{16}\right)^2}{11.2^2.\left(2^2\right).11-\left(2^4\right)^9}\)

\(=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^2.2^{22}-2^{36}}\)

\(=\dfrac{3^2.2^4.2^{32}}{11.2^{24}-2^{36}}\)

\(=\dfrac{3^2.2^{34}}{11.2^{24}-2^{36}}\)

\(=\dfrac{3^2.2^{24}.2^{10}}{11.2^{24}-2^{12}.2^{24}}\)

\(=\dfrac{3^2.2^{24}.2^{10}}{\left(11-2^{12}\right).2^{24}}\)

\(=\dfrac{3^2.2^{10}}{11-2^{12}}\)

a) \(A=\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)

\(A=\dfrac{11.3^{29}-3^{30}}{2^2.3^{28}}\)

\(A=\dfrac{11.3^{29}-3^{29}.3}{2^2.3^{28}}\)

\(A=\dfrac{3^{29}.\left(11-3\right)}{2^2.3^{28}}\)

\(A=\dfrac{3^{29}.8}{2^2.3^{28}}\)

\(A=\dfrac{3.8}{4}=6\)

vậy \(A=6\)

b) \(B=\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(B=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(B=\dfrac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(B=\dfrac{3^2.2^{36}}{11.2^{35}-2^{35}.2}\)

\(B=\dfrac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)

\(B=\dfrac{3^2.2^{36}}{2^{35}.9}\)

\(B=\dfrac{3^2.2}{9}\)

\(B=\dfrac{9.2}{9}\)

\(B=2\)

vậy \(B=2\)

\(=\frac{3^2.4^2.2^{32}}{11.2^{35}-2^{36}}\)

\(=\frac{3^2.4^2.2^{32}}{2^{35}\left(11-2\right)}\)

\(=\frac{3^2.4^2.2^{32}}{2^{35}.3^2}\)

\(=\frac{4^2}{2^3}\)

\(=\frac{2^4}{2^3}\)

\(=2\)

Hk tốt

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{35}.2}\)

\(=\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)

\(=\frac{9.2^{35}.2}{2^{35}.9}\)

\(=2\)

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

= \(\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

= \(\frac{3^2.4^2.2^{32}}{11.2^{35}-2^{35}.2}\)

= \(\frac{3^2.2^4.2^{32}}{2^{35}.\left(11-2\right)}\)

= \(\frac{3^2.2^{36}}{2^{35}.9}\)

= \(\frac{9.2^{35}.2}{2^{35}.9}\)

= \(2\)

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

=\(\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

=\(\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)

=\(\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)

=\(\frac{3^2.2^{36}}{2^{35}.9}\)

=\(\frac{3^22^{36}}{2^{35}.3^2}\)

=2

Chúc bn học tốt

\(B=\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}=\frac{3.2^2.2^{16.2}}{11.2^{13}.2^{22}-2^{36}}=\frac{3.2^{34}}{11.2^{35}-2^{36}}=\frac{3.2^{34}}{2^{34}\left(11.2-2^2\right)}\)

\(=\frac{3}{11.2-2^2}=\frac{3}{11.2-4}=\frac{3}{22-4}=\frac{3}{18}=\frac{1}{6}\)

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