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\(A=\frac{\left(5^2\right)^3\cdot5^5}{6\cdot5^{10}}\)
\(A=\frac{5^{2+3}\cdot5^5}{6\cdot5^{10}}\)
\(A=\frac{5^5\cdot5^5}{6\cdot5^{10}}\)
\(A=\frac{5^{5+5}}{6\cdot5^{10}}\)
\(A=\frac{5^{10}}{6\cdot5^{10}}\)
\(\Rightarrow A=\frac{1}{6}\)
\(A=\frac{25^3.5^5}{6.5^{10}}=\frac{\left(5^2\right)^3.5^5}{6.5^{10}}=\frac{5^5.5^5}{6.5^{10}}=\frac{1}{6}.\)
\(\frac{5^3.5^8}{25^4}\)
\(=\frac{5^{11}}{25^4}\)
\(=\frac{48828125}{390625}\)
\(\frac{5^3.5^8}{25^4}=\frac{5^8.5^3}{\left(5^2\right)^4}\)
\(\Rightarrow\frac{5^8.5^3}{5^8}=5^3=125\)
Hk tốt
\(A=\frac{25^3.5^5}{6.5^{10}}=\frac{\left(5^2\right)^3.5^5}{6.5^{10}}=\frac{5^6.5^5}{6.5^{10}}=\frac{5^{11}}{6.5^{10}}=\frac{5}{6}\)
\(B=\frac{2^5.6^3}{8^2.9^2}=\frac{2^5.2^3.3^3}{\left(2^3\right)^2.\left(3^2\right)^2}=\frac{2^8.3^3}{2^6.3^4}=\frac{4}{3}\)
Phạm Hồng Anh k tớ nhé
a) \(\frac{6^{15}+6^{13}}{6^{12}}=\frac{6^{13}.\left(6^2+1\right)}{6^{12}}=6.37=222\)
b) \(\frac{2^6.5^7}{10^6}=\frac{2^6.5^6.5}{10^6}=\frac{10^6.5}{10^6}=5\)
a, Ta có: \(A=\frac{6^{15}+6^{13}}{6^{12}}=\frac{6^{12}\left(6^3+6\right)}{6^{12}}=6^3+6\) \(=222\)
b, Ta có: \(B=\frac{2^6.5^7}{10^6}=\frac{2^6.5^6.5}{10^6}=\frac{\left(2.5\right)^6.5}{10^6}\) \(=\frac{10^6.5}{10^6}=5\)
=2^12.3^4.(3-1)/2^12.3^5(3+1)-5^10.7^3.(1-7)/5^9.7^3.(1+2^3)
2/3.4-5.(-6)/9
=1/6-(-10/3)
1/6+10/3
7/2
a cong tru loan nen ko hieu
b
A=5/1.4+5/4.7+..5/100.103
3/5.A=3/1.4+3/4.7+..+3/100.103
=1/1-1/4+1/4-1/7+...+1/100-1/103
=1-1/103=102/103
A=(5.102)/(3.103)=5.34/103
#)Giải :
a)\(2^6.5^6=\left(2.5\right)^6=10^6\)
b)\(8^2.5^2=\left(8.5\right)^2=40^2\)
c)\(4^3.5^3=\left(4.5\right)^3=20^3\)
d)\(5^2.6^2.3^2=\left(5.6.2\right)^2=60^2\)
e)\(\frac{625^5}{25^8}=\frac{\left(25^2\right)^5}{25^8}=\frac{25^{10}}{25^8}=25^2\)
g)\(\frac{3^9}{7}.\frac{7^9}{3}=\frac{\left(3.7\right)^9}{7.3}=\frac{21^9}{21}=21^8\)
Đặt \(A=\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+...+\frac{1}{99\cdot101}\)
\(2A=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-...+\frac{1}{99}-\frac{1}{101}\)
\(2A=\frac{100}{101}\)
\(A=\frac{50}{101}\)
b) \(\frac{2^{10}+3^{31}+2^{40}+3^6}{2^{11}\cdot3^{31}+2^{41}\cdot3^6}=\frac{2^{10}+2^{40}}{2^{11}+2^{41}}\)
\(\frac{2^{10}+2^{40}}{2^{11}+2^{41}}=\frac{1}{2}\)
=1/2x(1/1.3+1/3.5+...+1/99.101)
=1/2.(1-1/3+1/3-1/5+1/5-1/7+...+1/99-1/101)
=1/2.(1-1/101)
=1/2.100/101
=50/101
chúc bạn học tốt
= \(\frac{5^6.5^5}{6.5^{10}}\) = \(\frac{5^{11}}{6.5^{10}}\)= \(\frac{5}{6}\)
\(\frac{25^3.5^5}{6.5^{10}}\)=\(\frac{5^{11}}{6.5^{10}}\)=\(\frac{5}{6}\)
ok 100% chính xác