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DQ
2
BA
29 tháng 9 2019
\(\frac{21^2\cdot14\cdot125}{35^3\cdot6}\)
\(=\frac{\left(7\cdot3\right)^2\cdot2\cdot7\cdot5^3}{\left(7\cdot5\right)^2\cdot2\cdot3}\)
\(=\frac{7^2\cdot3^2\cdot2\cdot7\cdot5^3}{7^2\cdot5^2\cdot2\cdot3}\)
\(=\frac{7^3\cdot3^2\cdot2\cdot5^3}{7^2\cdot5^2\cdot2\cdot3}\)
Rút gọn nhé
\(=7\cdot3\cdot5\)
\(=105\)
29 tháng 9 2019
\(\frac{21^2.14.125}{35^3.6}=\frac{\left(7.3\right)^2.7.2.5^3}{\left(7.5\right)^3.2.3}=\frac{7^3.3^2.2.5^3}{7^3.3.2.5^3}=3\)
LN
0
L
1
18 tháng 2 2020
a)\(G=\frac{21^2.14.125}{35^5.6}=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^5.2.3}=\frac{3^2.7^3.2.5^3}{5^5.7^5.2.3}=\frac{3}{5^2.7^2}=\frac{3}{35^2}=\frac{3}{1225}\)
b)\(H=\frac{45^3.20^4.18^2}{180^5}=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(5.3^2.2^2\right)^5}=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{5^5.3^{10}.2^{10}}=\frac{5^7.2^{10}.3^{10}}{5^5.3^{10}.2^{10}}=5^2=25\)
ND
0
P
1
G
28 tháng 9 2020
a) Ta có : \(16^{19}=\left(2^4\right)^{19}=2^{76}\)
\(8^{15}=\left(2^3\right)^{15}=2^{45}\)
mà \(76>45\)
\(\Rightarrow2^{76}>2^{45}\)
hay \(16^{19}>8^{15}\)
b) Ta có : \(625^2=\left(5^4\right)^2=5^8\)
\(125^6=\left(5^3\right)^6=5^{18}\)
mà \(8< 18\)
\(\Rightarrow5^8< 5^{18}\)
hay \(625^2< 125^6\)
c) Ta có : \(3^{14}< 3^{21}< 4^{21}\)
\(\Rightarrow3^{14}< 4^{21}\)
d) Ta có : \(729^3=\left(3^6\right)^3=3^{18}\)
\(9^{21}=\left(3^2\right)^{21}=3^{42}\)
mà \(18< 42\)
\(\Rightarrow3^{18}< 3^{42}\)
hay \(729^3< 9^{21}\)
\(\frac{21^2.14.125}{35^3.6}\)
\(=\frac{7^2.3^2.2.7.5^3}{7^3.5^3.2.3}\)
\(=\frac{7^3.3^2.2.5^3}{7^3.5^3.2.3}\)
\(=3\)
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