Question

[Đặng Minh Triều]

Tính A,biết:

5.(2².3²)⁹.(2²)⁶-2.(2².3)¹⁴.3⁴

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5.2²⁸.3¹⁸-7.2²⁹.3¹⁸

Answer 1

[Nguyễn Thị Linh]

\(\frac{5(2^2.3^2)^9.(2^2)^6-2(2^2.3)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}(5.2-1)}{2^{28}.2^{18}(5-7.2)}\)
\(=\frac{2.9}{-9}\)
\(=-2\)
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