Tuyển Cộng tác viên Hoc24 nhiệm kì 28 tại đây: https://forms.gle/GrfwFgzveoKLVv3p6
1, Tìm x
a, (3x^2-50)^2=5^4
2, Rút gọn
a, (3^4-3^3)^4/27^3
b, 25^3/(5^5-5^3)^2
3, Thực hiện phép tính
a, (-1/3)^2 . 9 - (1/2)^3 .16 +(2:1/2^2)
b, (3/7)^10 . (7^5)^9 : (9/25)^5
c, (0,25)^5 . 2^11 : (1/3)^2
Tính các tổng sau:
a) A=\(\dfrac{1}{2}+\dfrac{1}{2^2}+\dfrac{1}{2^3}+...+\dfrac{1}{2^{100}}\)
b) B=\(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+...+\dfrac{1}{102^2}\)
c) C=\(\dfrac{3}{1+2}+\dfrac{3}{1+2+3}+\dfrac{3}{1+2+3+4}+...+\dfrac{3}{1+2+3+...+100}\)
S=3+3/2+3/22+3/23+....+3/26
giúp mình nha
| -5/4 | + | 3/2 | - | -0,5 |
| -5/2 | . ( 3 + | -1/2 |)
| -3/2 | . | 1/2 | + | -3/2 | . ( -6 )
CMR : E = \(1-\frac{1}{2^2}-\frac{1}{3^2}-...-\frac{1}{2004^2}>\frac{1}{2004}\)
F = \(\frac{1}{2^2}+\frac{1}{4^2}+...+\frac{1}{200^2}< \frac{1}{2}\)
H = \(\frac{1}{3}+\frac{2}{3^2}+\frac{3}{3^3}+...+\frac{100}{3^{100}}< \frac{3}{4}\)
Tính nhanh:
1-1/2+2-2/3+3-3/4+4/1/4-3-1/3-2-1/2-1
1)tìm MIN: B=(x-1)^2+ căn 2017
C=(-2018):((x+3^2)+4)
2)c/m: 1^3+2^3+3^3+...+n^3=(1+2+3+...+n)^3
Rút gọn : a) M = \(2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)
b) N = \(3^{100}-3^{99}+3^{98}-3^{97}+...+3^2-3+1\)
Tính:
a,22+42+62+82+...+1002.
b,13+23+33+43+...+1003.
Tính : \(A=\frac{2,5-4\left(\frac{5}{2}-1,2\right)+\frac{3}{8}}{4\left(\frac{5}{2}-1,2\right)-\frac{3}{5}:\frac{2}{5}}-\frac{55}{148}\)
Rút gọn \(B=\frac{3^9-2^3.3^7+2^{10}.3^2-2^{13}}{3^{10}-2^2.3^7+2^{10}.3^3-2^{12}}\)