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A=1002(1+22+32+....+102)=1002.375=375.104
B=\(\frac{4^{8^{ }}.4.6^2+4^{8^{ }}.4^4}{4^8.10^2}\)=\(\frac{4^{8^{ }}.2^2.6^2+4^{8^{ }}.4^4}{4^8.10^2}\)=\(\frac{4^{8^{ }}.2^2.6^2+4^8.2^2.2^6}{4^8.2^2.5^2}\)=\(\frac{4^8.2^2\left(6^2+2^6\right)}{4^8.2^2.5^2}\)=\(\frac{6^2+2^6}{5^2}\)
B=48.4.62+48.44:48.102
\(A=\frac{4^9.36+64^4}{16^4.100}=\frac{2^{18}.2^2.3^2+2^{24}}{2^{16}.2^2.5^2}=\frac{2^{20}.3^2+2^{24}}{2^{18}.5^2}=\frac{2^{20}\left(1.3^2+2^4\right)}{2^{18}.5^2}=\frac{2^{20}.13}{2^{18}.5^2}=\frac{2^2.13}{25}=\frac{52}{25}\)
a, \(A=\dfrac{3^{10}.11+3^{10}.5}{3^9.2^4}=\dfrac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
\(=\dfrac{3^{10}.2^4}{3^9.2^4}=3\)
b, \(B=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}=\dfrac{2^{10}.78}{2^8.104}\)
\(=\dfrac{2^2.3}{4}=3\)
c, \(C=\dfrac{4^9.36+64^4}{16^4.100}=\dfrac{\left(2^2\right)^9.36+\left(2^6\right)^4}{\left(2^4\right)^4.100}\)
\(=\dfrac{2^{18}.36+2^{24}}{2^{16}.100}=\dfrac{2^{18}.\left(36+2^6\right)}{2^{16}.100}\)
\(=\dfrac{2^4.100}{100}=2^4=16\)
Câu d làm tương tự! Chúc bạn học tốt!!!