4 mũ 3 : 2 mũ 4 = ????
cần gấp
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1.2+2.3+3.4.....+n.(n+1)=A
Ta có
3.A=1.2.(3-0)+2.3.(4-1)+3.4.(5 -2)...+ n.(n+1) . ((n+2) - (n-1))
3.A=1.2.3+2.3.4+3.4.5+...+ (n-1) . n. (n+1)+ n. (n+1). (n+2) -
=0.1.2 -1.2.3 -2.3.4 -3.4.5 -...(n-1)n(n+1)
3A=n.(n+1).(n+2)
A=\(\frac{n\left(n+1\right)\left(n+2\right)}{3}\)
Thay n = 96 ta có
A=\(\frac{96\left(96+1\right)\left(96+2\right)}{3}=304192\)
p/.s tham khảo nha
Ta có: 7200 : [ 200 + ( 33600 : x ) - 500 ] = 4
[ 200 + ( 33600 : x ) - 500 ] = 1800
200 + ( 33600 : x ) = 2300
33600 : x = 2100
x = 16
7200 : [ 200 + ( 33600 : x ) - 500 ] = 4
[ 200 + ( 33600 : x ) - 500 ] = 7200 : 4
[ 200 + ( 33600 : x ) - 500 ] = 1800
( 33600 : x ) - 500 = 1800 - 200
( 33600 : x ) - 500 = 1600
33600 : x = 1600 + 500
33600 : x = 2100
x = 33600 : 2100
x = 16
hok tốt
a, 51 + ( 432 - 4x ) : 3 = 191
\(\Rightarrow\) (432 - 4x ) : 3 = 140
\(\Rightarrow\) 432 - 4x = 420
\(\Rightarrow\) 4x = 12
\(\Rightarrow\) x=3
51 + ( 432 - 4x ) : 3 = 191
( 432 - 4x ) : 3 = 191 - 51
( 432 - 4x ) : 3 = 140
432 - 4x = 140 x 3
432 - 4x = 420
4x = 420 - 417
4x = 3
x = 3 : 4
x = \(\frac{3}{4}\)
Vậy x = \(\frac{3}{4}\)
Bo may la binh day k di hieu ashdbfgbgygygggydfsghuyfhdguuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu3
Ta gọi số cần tìm là a
Ta có:a:15 dư 2 ---> a-2 chia hết(dấu) cho 15
a:32 dư 2----> a-2 chia hết cho 32
a:75 dư 2----->a-2 chia hết cho 75
Suy ra a thuộc BC{15,32,75}
Ta có: 15 = 3.5
32=25.1
75=3.52
BCNN(15,32,75)=3.25.52=1200
Suy ra a-5 thuộc B(1200)
Suy ra a-5 thuộc(1200 , 2400, 3600,4800,...)
Suy ra a thuộc(1202,2402,3602,4802,...)
Do a nhỏ nhất nên a =1202
Vậy số đó là:1202
\(\frac{21^2.14.125}{35^3.6}\)
\(=\frac{7^2.3^2.2.7.5^3}{7^3.5^3.2.3}\)
\(=\frac{7^3.3^2.2.5^3}{7^3.5^3.2.3}\)
\(=3\)
Bo may la binh day k di hieu ashdbfgbgygygggydfsghuyfhdguuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu3
4 mũ 3 : 2 mũ 4 bằng
64:16=4
\(4^3:2^4\)
\(=\left(2^2\right)^3:2^4\)
\(=2^6:2^4\)
\(=2^2\)
\(=4\)