thuc hien phep tinh
b) 𝐵=1+5+5^2+5^3+...+5^150
c) 𝐶=1+3+3^2+3^3+...+3^100
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a,3/7 +1/2-[-3]/70
=13/14 -[-3]/70
=65/70 -[-3]/70
=34/35
b,3/5+-1/25 -35/100
=14/25 - 35/100
=56 /100 -35/100
= 21/100
c ,5/12 -3/-16+3/4
=29/48 +3/4
= 29/48 +36/48
=65/48
d, 5/15 +4/-12 +1/7 -1/-6
= 1/3 +1/-3 +1/7-1/-6
=0+1/7-1/-6
= 13/42
A.\(\dfrac{3}{7}+\dfrac{1}{2}+\dfrac{\left(-3\right)}{70}\)
=\([\dfrac{30}{70}+\dfrac{\left(-3\right)}{70}]\)+\(\dfrac{1}{2}\)
= \(\dfrac{27}{70}+\dfrac{35}{70}\)
=\(\dfrac{62}{70}=\dfrac{31}{35}\)
B.\(\dfrac{3}{5}+\dfrac{-1}{25}-\dfrac{35}{100}\)
=\(\dfrac{60}{100}+\dfrac{-4}{100}-\dfrac{35}{100}\)
=\(\dfrac{60+\left(-4\right)-35}{100}\)
=\(\dfrac{21}{100}\)
C.\(\dfrac{5}{12}-\dfrac{3}{-16}+\dfrac{3}{4}\)
=\(\left(\dfrac{5}{12}+\dfrac{9}{12}\right)-\dfrac{-3}{16}\)
=\(\dfrac{7}{6}-\dfrac{-3}{16}\)
=\(\dfrac{56}{48}-\dfrac{-9}{48}\)=\(\dfrac{65}{48}\)
D.\(\dfrac{5}{15}+\dfrac{4}{-12}+\dfrac{1}{7}-\dfrac{1}{-6}\)
=\(\dfrac{1}{3}+\dfrac{1}{7}+(\dfrac{-2}{6}-\dfrac{-1}{6})\)
=\(\dfrac{1}{3}+\dfrac{1}{7}+\dfrac{-1}{6}\)
=\((\dfrac{1}{3}+\dfrac{-1}{6})+\dfrac{1}{7}\)
=\(\dfrac{1}{6}+\dfrac{1}{7}\)=\(\dfrac{13}{42}\)
1a
75/100+18/21+19/32+1/4+3/21+13/32
= 3/4 +6/7+19/32+1/4+1/7+13/32
= (3/4+1/4)+(19/32+13/32)+(6/7+1/7)
= 1+1+1=3
1b
22/5+51/9+11/4+3/5+1/3+1/4
=22/5+17/3+11/4+3/5+1/3+1/4
=(22/5+3/5)+(17/3+1/3)+(11/4+1/4)
=25/5+18/3+12/4
=5+6+3
=14
1 + 5 + 52 + 53 + 54 + ....+ 52015
Đặt A= 1 + 5 + 52 + 53 + 54 + ....+ 52015
5A= 5 ( 1 + 5 + 52 + 53 + 54 + ....+ 52015)
5A= 5 + 52 + 53 + 54 + ....+ 52015+52016
5A- A= ( 5 + 52 + 53 + 54 + ....+ 52015+52016) -( 1 + 5 + 52 + 53 + 54 + ....+ 52015)
4A= 52016-1
A= (52016-1) :4
Vậy...
ta có 5^x+5^x*25=650 suy ra 5^x *26=650 ,5^x=25 suy ra x=2
Mk giúp phần đầu nhé!
Có 5x+5x+2=650
=> 5x.(1+52)=650
5x. 26=650
5x=650:26
5x=25
=> x=2
a) 295 - (31 - 22 x 5)2
= 295 - (31 - 4 x 5)2
= 295 - (31 - 20)2
= 295 - 112
= 295 - 121
= 174
b) 79 : 77 - 32 + 23 x 52
= 72 - 9 - 8 x 25
= 49 - 9 - 8 x 25
= 40 - 200
= -160
c) 1200 : 2 + 62 x 21 + 18
= 600 + 36 x 2 + 18
= 600 + 72 + 18
= 600 + 90
= 690
d) 151 - 291 : 288 + 12 x 3
= 151 - 23 + 1 x 3
= 151 - 8 + 1 x 3
= 151 - 8 + 3
= 151 - 11
= 140
e) 238 : 236 + 51 : 32 - 72
= 22 + 5 : 9 - 49
= 4 + 5 : 9 - 49
= 9 : 9 - 49
= 1 - 49
= -48
Học tốt!!!
b) \(B=1+5+5^2+5^3+...+5^{150}\)
\(5B=5+5^2+5^3+...+5^{151}\)
\(5B-B=\left(5+5^2+5^3+...+5^{151}\right)-\left(1+5+5^2+5^3+...+5^{150}\right)\)
\(4B=5^{151}-1\)
\(B=\frac{5^{151}-1}{4}\)
c) \(C=1+3+3^2+3^3+...+3^{100}\)
\(3C=3+3^2+3^3+...+3^{101}\)
\(3C-C=\left(3+3^2+3^3+...+3^{101}\right)-\left(1+3+3^2+3^3+...+3^{100}\right)\)
\(2C=3^{101}-1\)
\(C=\frac{3^{101}-1}{2}\)