\(A=\frac{2^{12}x3^5-4^6x9^2}{\left(2^2x3\right)^6+8^4x3^5}-\frac{5^{10}x7^3-25^5x49^2}{\left(125x7\right)^3+5^9x14^3}\)
\(B=\frac{\left(\frac{-1}{2}\right)^3-\left(\frac{3}{4}\right)^3x\left(-2\right)^2}{2x\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}}\)
\(C=2^2+3\left(\frac{1}{2}\right)^0-2^{-2}+\left[\left(-2^2\right):\frac{1}{2}\right]:8\)
Tính:
a)9^15x25^43/27^10x5^85
b)2^5x49^2/4^3x7^3
Tính nhanh:A=1*5*6+2*10*12+3*15*18+4*20*24+5*25*30/1*3*5+2*6*10+3*9*15+4*12*20+5*15*25
2^13 . 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
bai 1
1) (-3)^10 . 15^5 / 25^3 . (-9)^7
2) (-5)^60 . 30^5 / 15^5 . 5 ^61
3) 3/5+ 3/5^3 + 3/5^5 + ... + 3/5^ 199
4) 3^6 . 45^4 - 15^13 . 5^-9 / 27^4 . 25^3 + 45^6
bai 2 ; so sanh
1) (-5)^30 ; (-3) ^50
2) ( -1/16)^10 ; (1/2)^50
3) 2^2010+1 / 2^2007 + 1 ; 2^2012+1 / 2^2009+1
(2^12.3^5-4^6.9^2)/((2^3.3)^6)-5^10.7^3-25^5.49^2/(125.7)^3+5^9.14^3
A = 9/8 - 8/9 + 3/25 + 1/4 - 5/16 + 19/25 - 1/9 + 2/25 - 1/81
B = -1/3- 8/35 - 2/9 - 1/35 + 4//5 + -4/9 + 3/7
(12/25)^x=(5/3)^-2-(-3/5)^4
(12/25)^x=144/625
(12/25)^x=(12/25)^2
=>x=2
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