\(=\frac{5\cdot2^{20}\cdot3^{11}+7\cdot2^{29}\cdot3^{18}}{5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}}=\frac{2^{20}\cdot3^{11}\left(5+7\cdot2^9\cdot3^7\right)}{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}=\frac{5+7\cdot2^9\cdot3^7}{2^9\cdot3^7\cdot1}\)
\(=\frac{5\cdot2^{20}\cdot3^{11}+7\cdot2^{29}\cdot3^{18}}{5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}}=\frac{2^{20}\cdot3^{11}\left(5+7\cdot2^9\cdot3^7\right)}{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}=\frac{5+7\cdot2^9\cdot3^7}{2^9\cdot3^7\cdot1}\)
Rút gọn các biểu thức sau:
E = \(\dfrac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
tinh
B=7*6^10*2^20*3^6-2^19*6^15/9*6^19*2^9-4*3^17*2^26
giải phương trình sau :
\(\left(\dfrac{x+6}{x-6}\right)\left(\dfrac{x+4}{x-4}\right)^2+\left(\dfrac{x-6}{x+6}\right)\left(\dfrac{x+9}{x-9}\right)^2=2\dfrac{x^2+36}{x^2-36}\)
\(\dfrac{1}{\sqrt{1}-\sqrt{2}}-\dfrac{1}{\sqrt{3}-\sqrt{4}}+\dfrac{1}{\sqrt{4}-\sqrt{5}}-\dfrac{1}{\sqrt{5}-\sqrt{6}}+\dfrac{1}{\sqrt{6}-\sqrt{7}}-\dfrac{1}{\sqrt{7}-\sqrt{8}}+\dfrac{1}{\sqrt{8}-\sqrt{9}}\)
1) Rút gọn p/s:
a) 6*9 - 2*17 / 63*3 - 119
b) 2*3 + 4*6 + 14*21 / 3*5 + 6*10 + 21*35
c) 3*13 - 13*18 / 15*40 - 80
d) (-5)^3*40*4^3 / 135 * (-2)^14 * (-100)^0
e)18*34+(-18)*124 / -36 *17 +9*(-52)
Giải giúp em 6 7 8 9 10 với ạ
1+1+2-3+2*5/6+7/8*9-10=?
giup mik cau nay vs
-1/39+-1/52=
-6/9+-12/16=
-2/5--3/11=
-34/37x 74/-85=
-5/9:-7/18=
giup mik vs
a)\(3x+\dfrac{4}{9}=2x+\dfrac{11}{18}\)
b)\(\dfrac{7}{12}+\dfrac{2}{3}:x=\dfrac{5}{8}\)
c)\(|2,5-x|-\dfrac{1}{5}=1,2\)
d)\(2^{x+1}+2^{x+2}=192\)
Tim x