Tính (5.2^30.3^18 - 2^2.3^20.2^27) / (5.2^9.2^19.3^19 - 7.2^29.3^18

Tính \(\frac{{{{5.2}^{30}}{{.3}^{18}} - {2^2}{{.3}^{20}}{{.2}^{27}}}}{{{{5.2}^9}{{.2}^{19}}{{.3}^{19}} - {{7.2}^{29}}{{.3}^{18}}}}\).

Trả lời

\(\frac{{{{5.2}^{30}}{{.3}^{18}} - {2^2}{{.3}^{20}}{{.2}^{27}}}}{{{{5.2}^9}{{.2}^{19}}{{.3}^{19}} - {{7.2}^{29}}{{.3}^{18}}}}\)

= \(\frac{{{{5.2}^{30}}{{.3}^{18}} - {2^{29}}{{.3}^{20}}}}{{{{5.2}^{28}}{{.3}^{19}} - {{7.2}^{29}}{{.3}^{18}}}}\)

= \(\frac{{{2^{29}}{{.3}^{18}}\left( {5.2 - {3^2}} \right)}}{{{2^{28}}{{.3}^{18}}\left( {5.3 - 7.2} \right)}}\)

= \(\frac{{2.1}}{1}\)

= 2.

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