ta có : \(\dfrac{4^6.9^5+6^9.120}{-8^4.3^{12}-6^{11}}=\dfrac{4\left(4^5.9^5+5.6^{10}\right)}{-2^{12}.3^{12}-6^{11}}=\dfrac{4\left(2^{10}.3^{10}+5.6^{10}\right)}{-2^{12}.3^{12}-6^{11}}\)
\(=\dfrac{4\left(6^{10}+5.6^{10}\right)}{-6^{12}-6^{11}}=\dfrac{4.6^{11}}{-6^{11}\left(6+1\right)}=-\dfrac{4}{7}\)
Câu 2: Tính
C = \(\dfrac{6^3+3.6^2+3^3}{13}\)
D = \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
Tính
a)\(\left(5^{-5}\right)^{-1}.\left(\dfrac{1}{2}\right)^{-2}.\dfrac{1}{10^5}\)
b) \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
c) \(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
BÀI 2 TÍNH :
A = \(\dfrac{6^3+3.6^2+3^3}{13}\)
B = \(\dfrac{4^6.9^5+6^9.120}{8^4-3^{12}.6^{11}}\)
Các bạn giúp mình với!
a) 125\(^3\).7\(^4\) - 5\(^9\). 49\(^2\) : 2005\(^{2006}\)
b) 64\(^2\).81\(^3\).34 : 2\(^{13}\).3\(^9\).17
c) 16.64.8\(^2\) : 4\(^3\).2\(^5\).16
d) 10. \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
A=2^12.3^5-4^6.9^2\(2^2.3)^6+8^4.3^5 - 5^10.7^3-25^5.49^2\(125.7)^3+5^9.14^3
Câu 1: Rút gọn các biểu thức sau:
C = \(\dfrac{8^2.9^5}{3^9.4^3}\)
D = \(\dfrac{81^6.9^5}{27^7.3^{11}}\)
F = \(\dfrac{8^{15}.25^7}{125^5.2^{47}}\)
G = \(\dfrac{10^2.5^3}{8.25^2}\)
Rút gọn:
a, A=\(\dfrac{2^6.9^2}{6^4.8}\)
b, B=\(\dfrac{2^{13}.3^7}{2^{15}.3^2.9^2}\)
\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
a) \(\dfrac{5^5}{5^x}=5^{18}\)
b) \(\dfrac{2^{4-x}}{16^5}=32^6\)
c) \(\dfrac{2^{2x-3}}{4^{10}}=8^3.16^5\)
d) \(\dfrac{2^3}{2^x}=4^5\)
e) \(9.5^x=6.5^6+3.5^6\)
f) \(7.2^x=2^9+5.2^8\)
