\(\frac{45^{10}.5^{20}}{75^{15}}\)
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15 tháng 7 2016
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{3^{20}.5^{10}.5^{20}}{3^{15}.5^{30}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)
.Check mk nhá •<3 •
22 tháng 9 2015
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{45^{10}.25^{10}}{75^{10}.75^5}=\frac{1125^{10}}{75^{10}.75^5}=\frac{15^{10}}{75^5}=243\)
ND
1
24 tháng 10 2020
Bài làm
\(A=\frac{45^{10}\cdot5^{20}}{75^{15}}\)
\(A=\frac{\left(3^2\right)^{10}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot\left(5^2\right)^{15}}\)
\(A=\frac{3^{20}\cdot5^{30}}{3^{15}\cdot5^{30}}\)
\(A=3^5\)
Vậy \(A=3^5\)
\(B=\frac{2^{15}\cdot5^{20}}{6^6\cdot8^3}\)
\(B=\frac{2^{15}\cdot5^{20}}{2^6\cdot3^3\cdot\left(2^3\right)^3}\)
\(B=\frac{2^{15}\cdot5^{20}}{2^{15}\cdot3^3}\)
\(B=\frac{5^{20}}{3^3}\)
Vậy \(B=\frac{5^{20}}{3^3}\)
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
MT
1 tháng 7 2015
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}=\frac{\left(3^2\right)^{10}.5^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)
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
\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(9.5\right)^{10}.5^{20}}{\left(3.25\right)^{15}}\)
\(=\frac{9^{10}.5^{10}.5^{20}}{3^{15}.25^{15}}\)
\(=\frac{\left(3^2\right)^{10}.5^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}\)
\(=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}\)
\(=\frac{3^{20}}{3^{15}}\)
\(=3^5\)
\(=243\)
Ta có : \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{9^{10}.5^{10}.5^{20}}{3^{15}.25^{15}}=\frac{\left(3^2\right)^{10}.5^{30}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5\)