Rút gọn:
1) \(\dfrac{45^2.3^8.10^5}{5^5.3^7.18^5}\)
2)\(\dfrac{4^5.9^4+2.6^9}{2^{10}.3^8+6^8.20}\)
3) \(\dfrac{15.3^{11}+4.27^4}{9^7}\)
4) \(\dfrac{4^7.2^8}{3.2^{15}.16^2-5.2^2\left(2^{10}\right)^2}\)
5) \(\dfrac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
6) \(\dfrac{12^6.5^2-2^{10}.3^5.5^2}{12^6.10-2^{12}.3^8}\)
Các bạn giải giúp mình, mình xin được cảm ơn trước!
\(\dfrac{-5}{9}+1\dfrac{5}{9}\cdot\left(\dfrac{3}{4}-\dfrac{2}{5}\right):7^2\)
\(1\dfrac{13}{15}\cdot0,75-\left(\dfrac{104}{195}+25\%\right)\cdot\dfrac{24}{47}-3\dfrac{12}{13}:3\)
\(1\dfrac{13}{15}\cdot\left(0,5\right)^2\cdot3+\left(\dfrac{8}{15}+1\dfrac{19}{60}\right):1\dfrac{23}{24}\)
Rút gọn lũy thừa:
A = \(\frac{8^5\cdot\left(-5\right)^8+2^5\cdot10}{2^{16}\cdot5^7+20^8}^9\)
cho :
\(\dfrac{\dfrac{2}{3}n+\dfrac{1}{5}\cdot\dfrac{3}{7}+\dfrac{1}{7}\cdot\dfrac{3}{10}+\dfrac{1}{3}n-\dfrac{1}{14}+\dfrac{33}{35}}{\dfrac{2}{3}\cdot\left(3n+\dfrac{3}{5}\right)\dfrac{14}{15}+\dfrac{1}{3}}\)
a, Hãy rút gọn A.
b,Tìm giá trị của A khi n =\(\dfrac{-1}{5}\)
c,Tìm n để A nhận giá trị là \(\dfrac{2}{5}\)
d,Tìm n để 2A thuộc Z
\(tìmxbiết\dfrac{2}{2.4}+\dfrac{2}{4.6}+.....+\dfrac{2}{x.\left[x+2\right]}=\dfrac{4}{9}\)
Bài 1:Tính
a, A=\(\dfrac{3}{4}\cdot\dfrac{8}{9}\cdot\dfrac{15}{16}\cdot....\cdot\dfrac{9999}{10000}\)
b,B=\(\left(1-\dfrac{1}{21}\right)\cdot\left(1-\dfrac{1}{28}\right)\cdot\left(1-\dfrac{1}{36}\right)\cdot....\cdot\left(1-\dfrac{1}{1326}\right)\)
c,C=\(\left(1+\dfrac{1}{1\cdot3}\right)\cdot\left(1+\dfrac{1}{2\cdot4}\right)\cdot\left(1+\dfrac{1}{3\cdot5}\right)\cdot....\cdot\left(1+\dfrac{1}{99\cdot101}\right)\)
Rút gọn:
a) 2^12.3^5-4^6.3^6/2^12+9^3+8^4.3^5
B) 49^6.5-7^11/(-7)^10.5-2.49^5
Tìm x
a ) \(15-3\cdot x=6\) b)\(\dfrac{2}{3}-\dfrac{4}{3}\cdot x=\dfrac{1}{2}\) c) \(3^{19}\cdot\left(x-12\right)=4\cdot3^{20}\) d) \(3\cdot\left(x-4\right)=2^2\cdot3^3\)
rút gọn phân số sau thành phân số tối giản
a,\(\dfrac{5^3.90.4^3}{25^{2^{ }}.3^{2^{ }}.2^{13}}\)
b, \(\dfrac{18.27+18.\left(-23\right)}{34.4-4.52}\)
c, \(\dfrac{15^{2^{ }}.16^{4^{ }}-15^3.16^3}{12^2.20^3-20^2.12^3}\)
d,\(\dfrac{2.3+4.6+14.21}{3.5+6.10+21.35}\)