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\(\frac{\frac{3}{4}}{\frac{1}{3}}=\frac{1}{4}\)
\(\frac{\frac{1}{2}}{\frac{\frac{6}{5}}{\frac{2}{6}}}=\frac{1}{720}\)
a) \(\frac{7.12^3+2.12^3}{4^6.3^{11}}=\frac{12^3.\left(7+2\right)}{\left(2^2\right)^6.3^{11}}=\frac{\left(2^2.3\right)^3.3^2}{2^{12}.3^{11}}=\frac{2^6.3^5}{2^{12}.3^{11}}=\frac{1}{2^6.3^6}=\frac{1}{6^6}\)
\(\frac{-17.10+17.6}{18.11+18.6}=\frac{17.\left(-10+6\right)}{18.\left(11+6\right)}=\frac{17.\left(-4\right)}{18.17}=\frac{-2}{9}\)
\(\frac{6.7.8.10}{9.12.14.15}=\frac{2.3.7.2^3.2.5}{3^2.3.2^2.2.7.3.5}=\frac{2^5.3.5.7}{2^3.3^4.5.7}=\frac{2^2}{3^3}=\frac{4}{27}\)
phần b viết khó hiểu, phải viết phân số như a đàng hoàng
#)Giải :
a) \(A=\frac{4^5.9^4-2^6.6^9}{2^{10}.3^8+6^8.20}=\frac{2^{10}.3^8-2^{10}.3^8.3}{2^{10}.3^8+2^8.3^8.2^2.5}=\frac{2^{10}.3^8-2^{10}.3^8.3}{2^{10}.3^8+2^{10}.3^8.5}=\frac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1+5\right)}=-\frac{1}{3}\)
\(a,A=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}\)
\(=\frac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1+5\right)}=\frac{-1}{3}\)
Học tốt!!!!!!!!!!!!!
\(\frac{1+3^2+3^4+3^6}{1+3+3^2+3^3+3^4+3^5+3^6+3^7}\)
<=> \(\frac{1+3^2+3^4+3^6}{1+3+3^2+3^6+3+3^3+3^5+3^7}\)
<=> \(\frac{1+3^2+3^4+3^6}{1+3^2+3^4+3^6+3\left(1+3^2+3^4+3^6\right)}\)
<=> \(\frac{1+3^2+3^4+3^6}{4\left(1+3^2+3^4+3^6\right)}\)
<=> \(\frac{1}{4}\)