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2^8.6^2.3^4/2^12.3^8
= 2^8.2^2.3^2.3^4/2^12.3^8
= 2^10.3^6/2^12.3^8
= 1/2^2.3^2
= 1/36
Tk mk nha

A=1+2+22+23+...+263
2A=2+22+23+...+263+264
\(-\)
\(A=1+2+2^2+....+2^{63}\)
\(A=2^{64}-1\)
Vậy A=264-1

5 . 213 . 411 - 169 / ( 3 . 217)2
=5 . 213 . 222 - 236 / 32.234
=5 . 235 - 236 / 32.234
= 235. (5 - 2) / 32.234
= 235. 3 / 32.234
= 2/3

\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)
\(=\frac{\left(-125\right).40.64}{125.16384.1}\)
\(=\frac{\left(-1\right).5}{1.32.1}=-\frac{5}{32}\)
\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)
\(=\frac{\left(-5\right)^3.2^3.5.\left(2^2\right)^3}{5^3.2^{14}.1}\)
\(=\frac{\left(-5\right)^3.2^3.5.2^6}{5^3.2^{14}}\)
\(=\frac{\left(-5\right)^3.2^9.5}{5^3.2^{14}}\)
\(=\frac{-5}{2^5}\)
\(=\frac{-5}{32}\)

=\(\frac{7.\left(2^2\right)^5.3^{10}.3+2^{10}.2^3.\left(3^2\right)^5}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{7.2^{10}.3^{10}.3+2^{10}.2^3.3^{10}}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{2^{10}.3^{10}\left(7.3+2^3\right)}{2^{10}.3^{10}\left(1+2^2\right)}\)
=\(\frac{7.3+2^3}{1+2^2}\)
\(\frac{7.4^5.3^{11}+2^{13}.9^5}{6^{10}+2^{12}.3^{10}}=\frac{7.\left(2^2\right)^5.3^{11}+2^{13}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}=\frac{7.2^{10}.3^{11}+2^{13}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
Tự làm tiếp...

a) \(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2.3^2}{5}\)
b) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}=\frac{2.11}{5.7}\)
c) \(\frac{121.75.130.69}{39.60.11.198}=\frac{11^2.3.5^2.2.5.13.23.3}{13.3.2^3.3.5.11.11.3^2.2}\)
\(=\frac{11^2.3^2.5^3.2.13.23}{13.3^4.2^4.5.11^2}=\frac{5^2.23}{3^2.2^3}\)
a,\(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2^2.2.3^2.3^2}{2^2.3^2.5}\)\(=\frac{2.3^2}{5}\)
b,\(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}=\frac{2^3.2.5^2.11.11.7}{2^3.5^2.5.7.7.11}=\frac{2.11}{5.7}\)


ok,chúc bạn học tốt
\(\frac{6^2}{4^2}=\frac{36}{16}=\frac{9}{4}\)