Tính Nhanh :
( 2 + 4 + .... + 16 + 18 ) x ( 45 x 3 + 5 x 45 - 90 x 4 )
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Ta có:
A=\(\frac{3^{10}.11+3^8.45}{3^9.16}\)
A=\(\frac{3^{10}.11+3^{10}.5}{3^9.16}\)
A=\(\frac{3^{10}.\left(11+5\right)}{3^9.16}\)
A=\(\frac{3^{10}.16}{3^9.16}\)
A=3
Hok tốt
\(\frac{3^{10}.11+3^8.45}{3^9.16}\)
=\(\frac{59049.11+6561.45}{19683.16}\)
=\(\frac{649539+295245}{314928}\)
=\(\frac{944784}{314928}\)
=3
\(\Rightarrow]\) K CHO MÌNH NHA!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE
a, 45 x 46 + 45 x 45 - 30 - 15= 45x( 46+45) -30 -15= 45 x 91 - 30 - 15= 4095 - 30 - 15= 4050
b, 891 x 29 + 29 x 8+ 29= 29 x ( 891 + 8+ 1)= 29 x 900= 26100
c, 73 x ( 84+17) + 27 x (74+27)= 73 x 101 + 27 x 101= 101 x ( 73+27)= 101 x 100= 10100
d, chịu
d, đề bài= 13 x ( 99 + 2) + 13 x 1001+ 11 x 1300= 13 x 101 + 13 x 1001+ 13 x 1100= 13 x ( 101 + 1001 + 1100) = 13 x 2202= 28626
\(3.\left(x-2\right)^5+19=115\)
\(3.\left(x-2\right)^5=96\)
\(\left(x-2\right)^5=32\)
\(\left(x-2\right)^5=2^5\)
\(\Rightarrow x-2=2\)
\(\Rightarrow x=4\)
vậy \(x=4\)
b) \(5.3^{x+1}-45=90\)
\(5.3^{x+1}=90+45\)
\(5.3^{x+1}=135\)
\(3^{x+1}=27\)
\(3^{x+1}=3^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=2\)
vậy \(x=2\)
a, 3(x-2)5 + 19=115
3(x-2)5=115-19
3(x-2)5=96
(x-2)5=96:3
(x-2)5=32
\(\Rightarrow\)(x-2)5=25 mà số mũ 5 > 1
\(\Rightarrow\)x-2=2
x=2+2
x=4
Vậy x=4
b, 5.3x+1-45=90
5.3x+1=90-45
5.3x+1=45
3x+1=45:5
3x+1=9 mà 9=33
\(\Rightarrow\)3x+1=33 mà cơ số 3 > 1
\(\Rightarrow\)x+1=3
x=3-1
x=2
Vậy x=2.
a ) 420 + 65 . 4 = ( x + 175 ) : 51 + 30
420 + 260 = ( x + 175 ) : 51 + 30
680 = ( x + 175 ) : 51 + 30
=> ( x + 175 ) : 51 = 680 - 30
( x + 175 ) : 51 = 650
x + 175 = 650 . 51
x + 175 = 33150
x = 33150 - 175
x = 32975
b ) ( 32 . 15 ) : 2 = ( x + 70 ) : 14 - 40
480 : 2 = ( x + 70 ) : 14 - 40
240 = ( x + 70 ) : 14 - 40
=> ( x + 70 ) : 14 = 240 + 40
( x + 70 ) : 14 = 280
x + 70 = 280 . 14
x + 70 = 3920
x = 3920 - 70
x = 3850
a) 35 x 34 + 35 x 38 + 65 x 75 + 65 x 45
= 35 x (34+38) + 65 x (75 + 45)
= 35 x 72 + 65 x 120
= 2520 + 7800 = 10320
b) 3 x 25 x 8 + 4 x 37 x 6 + 2 x 38 x 12
= 3 x ( 25 x 8) + 4 x (37 x 6) + 2 x (38 x 12)
= 3 x 200 + 4 x 222 + 2 x 456
= 600 + 888 + 912 = 2400
tk nha
35 x 34 + 35 x 38 + 65 x 75 + 65 x 45
= 35 x ( 34 + 38 ) + 65 x ( 45 + 75 )
= 35 x 72 + 65 x 120
Đặt \(A=\frac{1.2+2.4+3.6+4.8+5.10}{4+6.8+9.12+12.16+15.20}\)
\(\Rightarrow A=\frac{1.\left(1+2\right)+2.\left(1+2\right)+3.\left(1+2\right)+4.\left(1+2\right)+5.\left(1+2\right)}{4+2.\left(3+4\right)+3.\left(3+4\right)+4.\left(3+4\right)+5.\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+2+3+4+5\right).\left(1+2\right)}{4+\left(2+3+4+5\right).\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+5\right).5:2.\left(1+2\right)}{4+\left(2+5\right).4:2.\left(3+4\right)}\)
\(\Rightarrow A=\frac{6.5:2.3}{4+7.4:2.7}=\frac{45}{4+98}=\frac{45}{102}=\frac{15}{34}\)
Vậy \(A=\frac{15}{34}\)
Chúc bn học tốt
(2+4+...+16+18) x (45 x 3+ 5 x 45 - 90 x 4)
= A x (135 + 225 - 360)
= A x 0
= 0
Đáp án là : 0
Cách làm :
lấy 45 x 3 + 5 x 45 - 90 x 4
= 45 x 3 + 5 x 45 - 45 x 2 x 4
= 45 x 3 + 5 x 45 - 45 x 8
= 45 x (3 + 5 - 8)
= 45 x 0 = 45
giữ nguyên ( 2 + 4 + ...... + 16 + 18)