tính nhẩm : 45^3.20^4.18^2:16^4.100
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ta có tử =453x204x182=45x45x45x20x20x20x20x18x18
=45x45x45x4x5x4x5x4x5x4x5x18x18
=(45x4x45x4x45x4)x4x5x5x5x5x18x18
=(180x180x180)x4x5x5x5x5x9x2x9x2
=(180x180x180)x(4x5x9x2x2x5x9)x5x5
=(180x180x180x180x180)x25
=1805x25
lại có:180mũ5x25:180mux5=25
H= 45^3.20^4.18^2/ 180^5 = (3^2.5)^3.(2^2.5)^4.(2.3^2)^2/ (2^2.3^2.5)^5 = 3^6.5^3.2^8.5^4.2^2.3^4/ 2^10.3^10.5^5 = 3^10.5^7.2^10/ 2^10.3^10.5^5 = 5^2=25
G=(212.14.125):355.6
=\(\frac{\left(3.7\right)^2.7.2.5^{^3}}{\left(7.5\right)^5.2.3}\)=\(\frac{3^2.7^2.7.5^3}{7^5.5^5.3}\)=\(\frac{3}{7^2.5^2}\)=\(\frac{3}{49.25}\)=\(\frac{3}{1225}\)
\(G=\frac{21^2.14.125}{35^5.6}\)
\(G=\frac{\left(3.7\right)^2.7.2.5^3}{\left(7.5\right)^5.2.3}=\frac{3}{7^2.5^2}=\frac{3}{49.25}=\frac{3}{1225}\)
\(C=\frac{21^2.14.125}{35^3.6}\)
\(C=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^3.2.3}\)
\(C=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)
\(C=\frac{3^2.7^3.2.5^3}{5^3.7^3.2.3}=3\)
\(D=\frac{45^3.20^4.18^2}{180^5}\)
\(D=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
\(D=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)
\(D=\frac{5^7.3^{10}.2^{10}}{2^{10}.3^{10}.5^5}=5^2=25\)
\(\frac{45^3.20^4.18^2}{16^4.100}\)
\(=\frac{5^3.3^6.5^4.4^4.2^2.3^4}{2^{16}.2^2.5^2}\)
\(=\frac{5^7.3^{10}.2^{10}}{2^{18}.5^2}\)
\(=\frac{5^2.3^{10}}{2^8}\)
\(=\frac{25.59049}{256}\)
\(=\frac{1476225}{256}\)
453 .204.182: 164.100
=(32.5)3.(5.22)4.(32.2)2:(24)4 .22.52
=36.53.54.28.34.22:216.22.52
= 36+4.53+4+2.28+2- 16+2
= 310. 59 . 2-4