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CD
24 tháng 7 2016
A, B, C,... là tên của bài bạn nha
VD: A, 15+x=15
B, 16+14+14+14
TD
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PM
0
25 tháng 7 2016
A) \(\frac{8^{15}.3^{17}}{4^{23}.9^9}=\frac{2^{45}.3^{17}}{2^{46}.3^{18}}=\frac{2^{45}.3^{17}}{2^{45}.3^{17}.\left(2.3\right)}=\frac{1}{6}\)
B)\(\frac{28^{15}.3^{17}}{84^{16}}=\frac{\left(2^2.7\right)^{15}.3^{17}}{\left(2^2.3.7\right)^{16}}=\frac{2^{30}.7^{15}.3^{17}}{2^{32}.3^{16}.7^{16}}=\frac{2^{30}.7^{15}.3^{16}.3}{2^{30}.7^{15}.3^{16}.\left(2^2.7\right)}=\frac{3}{28}\)
C) \(\frac{3^{10}+6^2}{5.3^8+20}=\frac{3^{10}+2^2.3^2}{5.3^8+2^2.5}=\frac{3^2.\left(3^8+2^2\right)}{5.\left(3^8+2^2\right)}=\frac{9}{5}\)
D) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3^6}{2^{11}.3^5}=\frac{2^7.3^5.3}{2^7.3^5.2^4}=\frac{3}{16}\)
F) \(\frac{5^4.20^4}{25^4.4^5}=\frac{5^4.\left(2^2.5\right)^4}{\left(5^2\right)^4.\left(2^2\right)^5}=\frac{5^4.2^8.5^4}{5^8.2^{10}}=\frac{5^8.2^8}{5^8.2^8.2^2}=\frac{1}{4}\)
G) \(\frac{5^5+25^2+5^2}{-151}=\frac{5^5+5^4+5^2}{-151}=\frac{5^2.\left(5^3+5^2+1\right)}{-151}=\frac{25.151}{-151}=-25\)
25 tháng 7 2016
A,\(\frac{8^{15}.3^{17}}{4^{23}.9^9}=\frac{\left(2^3\right)^{15}.3^{17}}{\left(2^2\right)^{23}.\left(3^2\right)^9}=\frac{2^{45}.3^{17}}{2^{46}.3^{18}}=\frac{1.1}{2.3}=\frac{1}{6}\)
B,\(\frac{28^{15}.3^{17}}{84^{16}}=\frac{28^{15}.3^{17}}{28^{16}.3^{16}}=\frac{1.3}{28.1}=\frac{3}{28}\)
C,\(\frac{3^{10}+6^2}{5.3^8+20}=\frac{3^{10}+3^2.2^2}{5.3^8+5.2^2}=\frac{3^2.\left(3^8+2^2\right)}{5.\left(3^8+2^2\right)}=\frac{3^2}{5}=\frac{9}{5}\)
D,\(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^{11}.3^5}=\frac{3}{2^4}=\frac{3}{16}\)
F,\(\frac{5^4.20^4}{25^4.4^5}=\frac{5^4.5^4.4^4}{\left(5^2\right)^4.4^5}=\frac{5^8.4^9}{5^8.4^5}=\frac{1}{4}\)
G,xin lỗi mik ko lm đc câu này.
Nhưng mik cũng đã cố gắng làm giúp bn mấy câu trên. k cho mik nha.
8 tháng 9 2016
\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{3^6\times2^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^{18}}{3^6\times2^{15}}=\frac{3^8}{3^6}=3^2=9\)
8 tháng 9 2016
\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(3.2\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{3^6.2^6.2^9}=\frac{2^{15}.3^8}{3^6.2^{15}}=3^2=9\)
NN
1
CH
Cô Hoàng Huyền
Admin
VIP
22 tháng 2 2018
\(\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
\(=\frac{2^{19}.5^2.3^{11}+2^{14}.3^{10}.5^2}{2^{17}.3^{12}.5^4-2^{18}.3^{11}.5^3}\)
\(=\frac{2^{14}.3^{10}.5^2\left(2^5.3+1\right)}{2^{17}.3^{11}.5^3\left(3.5-2\right)}=\frac{97}{2^3.3.5.13}=\frac{97}{1560}\)
\(6^3.15^3.16^3:9^4.4^7\)
\(=2^3.3^3.3^3.5^3.\left(2^4\right)^3:\left(3^2\right)^4.\left(2^2\right)^7\)
\(=2^3.3^9.5^3.2^{12}:3^8.2^{14}\)
\(=2^{29}.3^{17}.5^3\)