Tuyển Cộng tác viên Hoc24 nhiệm kì 26 tại đây: https://forms.gle/dK3zGK3LHFrgvTkJ6
Tinh nhanh :\(A=1994^{\left(225-1^2\right)\left(225-2^2\right)...\left(225-50^2\right)}\)
Bài 6 ; tính nhanh:
a, A =\(1993^{1^{2\times3\times4\times......\times1994}}\)
b, B =\(1994^{\left(225-1^2\right)\times\left(225-2^2\right).......\left(225-50^2\right)}\)
c, C =\(\frac{2^{10}\times3^{31}+2^{40}\times3^6}{2^{11}\times3^{31}+2^{41}\times3^6}\)
Bài 5 : Tính nhanh :
a, A =\(1993^{1^{2\times3\times4\times.....\times1994}}\)
b, B = \(1994^{\left(225-1^2\right)\times\left(225-2^2\right)\times....\times\left(225-50^2\right)}\)
c, C =\(\frac{2^{10}\times3^{31}+2^{40}\times3^6}{2^{11}\times3^{31}+2^{41}\times3^6}\)
d, D = \(\left(1+2+2^2+2^3+.....+2^{2003}+2^{2004}\right)-2^{2005}\)
Tìm số tự nhiên a và b biết:
\(\left(100a+3b+1\right)\left(2^a+10a+b\right)=225\)
\(A=\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{16}\right).......\left(1-\frac{1}{225}\right)\)
\(B=\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).\left(1+\frac{1}{4}\right)...\left(1+\frac{1}{2015}\right)\)
Tìm các số tự nhiêna và b thỏa mãn:
\(\left(100a+3b+1\right)\left(2^a+10a+b\right)=225.\)
CMR : \(\overline{a5^2}=\left[a.\left(a+1\right)\right]25\)
Ví dụ như : 15^2 = [ 1 . ( 1 + 1 )]25 = 225
Tính
a)\(\left(\frac{1}{2}.0,75\right)\left(0,25-\frac{2}{5}\right):\left(\frac{5}{9}-1\frac{1}{12}\right)\)
b)\(\frac{52.103-51}{52+51.103}.\frac{12.965+6.1009.4+6.2017.2}{1+3+5+7+...+47+49-225}\)
Tính
a, \(\frac{16a^3.b^4.c^2}{4.\left(a.b^2.c\right)^2}\)
b, \(\frac{\left(15\right)^{20}.\left(45\right)^7.27^3}{\left(225\right)^{70}.5^7.3^{10}}\)
