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a)
\(\frac{25^5.2^{10}}{20^4.5^4}=\frac{25^5.\left(2^2\right)^5}{\left(20.5\right)^4}=\frac{25^5.4^5}{100^4}=\frac{\left(25.4\right)^5}{100^4}=\frac{100^5}{100^4}=100.\)
Chúc bạn học tốt!
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}=\frac{5.2^{30}.3^{18}-3^{20}.2^{29}}{5.2^{29}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}.\left(5.2-9\right)}{2^{29}.3^{18}.\left(5.3-7\right)}=1\)
5.415.99-4.320.89 5.230.318-22.320.227 5.230.318-22.320.227 5.230.318-22.227.320
------------------------ = -------------------------------------- = -------------------------------------- =--------------------------------------
5.210.619-7.229.276 5.210.(2.3)19-7.229.318 5.210.219.319-7.229.318 5.229.319-7.229.318
= 5.230.318-229.320
--------------------------------------
5.229.319-7.229.318
làm nốt nha!!
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5\cdot2^{10}\cdot6^{19}-7.2^{29}.27^6}\)
\(=\frac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}\left(5.2-3^2\right)}{2^{28}.3^{18}\left(5.3-7.2\right)}\)
\(=\frac{2.\left(10-9\right)}{15-14}\)
\(=2\)
Vậy BT trên có giá trị là: 2
\(\frac{5^{10}.2^{10}}{100^4}\)
\(\frac{10^{10}}{10^8}=100\)
\(\frac{25^5.2^{10}}{20^4.5^4}=\frac{\left(5^2\right)^5.2^{10}}{\left(2.10\right)^4.5^4}=\frac{5^{10}.2^{10}}{2^4.10^4.5^4}=\frac{5^6.2^6}{10^4}=\frac{15625.64}{10000}=\frac{1000000}{10000}=100\)