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5 tháng 6 2018

Đề bài sai ak bn : 

\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)

\(=\frac{5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9}{5.2^9.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6}\)

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

\(=\frac{2^{29}.3^{18}.\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}=\frac{2^{29}.3^{18}.1}{2^{28}.3^{18}.1}=\frac{2^{29}}{2^{28}}=2\)

14 tháng 9 2017

A=5.415.99-4.320.89

A=5.(22)5.(32)9-22.320.(23)9

A=5.230.318-22.320.227

A=5.230.318-229.320

A=229.318.(5.2-32)

A=229.318

B=5.29.619-7.229.276

B=5.29.(2.3)9-7.229.(33)6

B=5.22.219.319-7.229.318

B=5.228.319-7.229.318

B=228.318.(5.3-7.2)

B=228.318

=>A:B= \(\frac{2^{29}.3^{18}}{2^{28}.3^{18}}\)

A:B=2

24 tháng 7 2018

\(5.4^{15}.9^9-4.3^{20}.8^9\)

\(=5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9\)

\(=5.2^{30}.3^{18}-2^2.3^{20}.2^{27}\)

\(=5.2^{29}.3.3^{18}-3^{18}.3^2.2^{29}\)

\(=3^{18}.2^{29}.\left(15-9\right)\)

\(=3^{18}.2^{29}.6\)

\(=3^{18}.2^{29}.2.3\)

\(=3^{19}.2^{30}\)

\(5.2^6.6^{19}-7.2^{29}.27^6\)

\(=5.2^6.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6\)

\(=5.2^6.2^{19}.3^{19}-7.2^{29}.3^{18}\)

\(=5.2^{25}.3^{18}.3-7.2^{25}.2^4.3^{18}\)

\(=2^{25}.3^{18}.\left(15-112\right)\)

\(=2^{25}.3^{18}.\left(-97\right)\)