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PL
6 tháng 9 2018
Ta có : \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{9^{10}.5^{10}.5^{20}}{3^{15}.25^{15}}=\frac{\left(3^2\right)^{10}.5^{30}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5\)
12 tháng 5 2018
a) \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{5^{10}.9^{10}.5^{20}}{5^{15}.5^{15}.3^{15}}=\frac{5^{30}.3^{20}}{5^{30}.3^{15}}=3^5=243\)
b) \(\frac{6^3+3.6^2+3^3}{-13}=\frac{2^3.3^3+3.2^2.3^2+3^3}{-13}\)
\(=\frac{3^3.\left(2^3+2^2+1\right)}{-13}=\frac{3^3.13}{-13}=-3^3=-27\)
c) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}\left(2.3-1\right)}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.5}\)
\(=\frac{2.6}{3.5}=\frac{4}{5}\)
d) \(\frac{3.11+42}{5^3}=\frac{33+42}{5^3}=\frac{75}{5^3}=\frac{5^2.3}{5^3}=\frac{3}{5}\)
22 tháng 9 2015
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{45^{10}.25^{10}}{75^{10}.75^5}=\frac{1125^{10}}{75^{10}.75^5}=\frac{15^{10}}{75^5}=243\)
LN
2
LM
25 tháng 8 2016
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(5.3^2\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}=\frac{5^{10}.3^{20}.5^{20}}{3^{15}.5^{30}}=\frac{5^{30}.3^{20}}{3^{15}.5^{30}}=\frac{3^5}{1}=3^5=243\)
25 tháng 8 2016
Ta có: 4510.520=(32.5)10.(52)10
=320.(52)5.2510
=315.35.255.2510
=35(315.2515)
=35.7515
Do đó: \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{3^5.75^{15}}{7^{15}}=3^5\)
TH
12 tháng 7 2016
\(\frac{45^{10}20^{10}}{75^{15}}\)=\(\frac{1125^{10}}{75^5.75^{10}}\)=\(\frac{1125^{10}}{75}\)=\(\frac{1}{75^5}\)=\(\frac{15^{10}}{75^5}\)=\(\frac{15^5.15^5}{75^5}\)=\(\frac{15^5}{75}\).\(15^5\)=\(\frac{1^5}{3}\).\(15^5\)=\(\frac{1}{3}.15^5\)=\(^{5^5}\)=3125
HF
2
24 tháng 6 2019
https://olm.vn/hoi-dap/tim-kiem?id=223671728745&id_subject=1&q=+++++++++++T%C3%ACm+gi%C3%A1+tr%E1%BB%8B+c%E1%BB%A7a+bi%E1%BB%83u+th%E1%BB%A9c+:a)+4510%C3%975207515+++++++++++
24 tháng 6 2019
a) \(\frac{45^{10}\times5^{20}}{75^{15}}\)
\(=\frac{\left(15\times3\right)^{10}\times5^{20}}{\left(15\times5\right)^{15}}\)
\(=\frac{15^{10}\times3^{10}\times5^{20}}{15^{15}\times5^{15}}\)
\(=\frac{1\times3^{10}\times5^5}{15^5\times1}\)
\(=\frac{3^{10}\times5^5}{\left(3\times5\right)^5}\)
\(=\frac{3^{10}\times5^5}{3^5\times5^5}\)
\(=3^5=243\)
N
4
19 tháng 6 2017
\(\frac{45^{10}.5^{20}}{75^{15}}\)
\(=\frac{5.3^{20}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{5^{21}.3^{20}}{5^{30}.3^{15}}=\frac{5^{21}.3^{15}.3^5}{5^{21}.5^9.3^{15}}=\frac{3^5}{5^9}\).
22 tháng 12 2017
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(9.5\right)^{10}.5^{20}}{\left(3.25\right)^{15}}\)
\(=\frac{9^{10}.5^{10}.5^{20}}{3^{15}.25^{15}}\)
\(=\frac{\left(3^2\right)^{10}.5^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}\)
\(=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}\)
\(=\frac{3^{20}}{3^{15}}\)
\(=3^5\)
\(=243\)
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}=\frac{\left(3^2\right)^{10}.5^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)