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Nguyễn Nhi

2 tháng trước

12^2.18^3/27^2.36^3 Rút gọn nhơ

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Apple347

2 tháng trước

Answer

${12^2 . 18^3}/{27^2 . 36^3}$ $\\$ $= {(2^2 . 3)^2 . (2 . 3^2)^3}/{(3^3)^2 . (2^2 . 3^2)^3$ $\\$ $= {2^4 . 3^2 . 2^3 . 3^6}/{3^6 . 2^6 . 3^6}$ $\\$ $= {2^7 . 3^8}/{2^6 . 3^12}$ $\\$ $= 2/81$

huynguyenduc629

2 tháng trước

$\frac{12^{2} . 18^{3} }{27^{2} . 36^{3} }$

$=$ $\frac{6.2^{2} . 3.6^{3} }{3.9^{2}. 4.9^{3}}$

$=$ $\frac{6^{2} . 2^{2} . 3^{1} . 6^{3}}{ 9^{2} . 4^{3} . 9^{3} }$

$=$ $\frac{36 . 4 . 3 . 216}{81 . 64 . 729}$

$=$ $\frac{93312}{3779136}$

$=$ $\frac{2}{81}$

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