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1 tháng 3 2017
3^2 . 5^20 . 3^27 . - 3 . 3^30 . 5^18 / 7 . 3^29 . 5^18 - 3^10 . 3^19 . 5 ^19
=3^29 . 5^20 - 3^31 . 5^18 / 7 . 3^29 . 5^18 - 3^29 . 5^19
=3^29 . 5^18 . (5^2 - 3^2) / 3^29 . 5^18 . (7 - 5)
=8
24 tháng 7 2018

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

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

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

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

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

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

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

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

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

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

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

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

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

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

17 tháng 3 2019

5.415.99-4.320.89=5.230.318-229.320=229.318.(5.2-32)=229.318 

5.29.619-7.229.276=5.228.319-7.229.318=228.318.(5.3-7.2)=228.318

5 tháng 6 2018

Đề bài sai ak bn : 

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

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

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

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