4^10.9^6+3^12.8^5/6^13.4-2^16.3^12
Tính
a, -27^3.4^10.81^2 / 3^12.8^6
b,12^3. (-125)^2 / (-5)^7.2^6.9
c,)1^1.2^2.3^3.4^4 / 2^3.3^4.4^5) . 6!
Có cả cách giải =='
30.4^7.3^99-5.14^5-2^12/5^4.6^14.9^7-12.8^5.7^6
Bài 6: 1) 3^x+2+4.3^x+1=7.3^6 2)5^x+4-3.5^x+3=2.5^11 3)4^x+3-3.4^x+1=13.4^11
Lời giải:
1.
$3^{x+2}+4.3^{x+1}=7.3^6$
$3^{x+1}.3+4.3^{x+1}=7.3^6$
$3^{x+1}(3+4)=7.3^6$
$3^{x+1}.7=7.3^6$
$\Rightarrow 3^{x+1}=3^6$
$\Rightarrow x+1=6$
$\Rightarrow x=5$
2.
$5^{x+4}-3.5^{x+3}=2.5^{11}$
$5^{x+3}.5-3.5^{x+3}=2.5^{11}$
$5^{x+3}(5-3)=2.5^{11}$
$2.5^{x+3}=2.5^{11}$
$\Rightarrow 5^{x+3}=5^{11}$
$\Rightarrow x+3=11$
$\Rightarrow x=8$
3.
$4^{x+3}-3.4^{x+1}=13.4^{11}$
$4^{x+1}.4^2-3.4^{x+1}=13.4^{11}$
$4^{x+1}.16-3.4^{x+1}=13.4^{11}$
$13.4^{x+1}=13.4^{11}$
$\Rightarrow 4^{x+1}=4^{11}$
$\Rightarrow x+1=11$
$\Rightarrow x=10$
1) 2⁴ .x -3.5x = 5² - 2⁴ 2) 3² .x +2²x =26.2² -13
5) 6² x -5²x = 11.2 -11. 3) 5² .x - 2⁴ x = 3⁴ -16.3²
6) 7² x - 6² x =13.2³ - 26. 4) 7² .x - 14 x = 7² .10 -70
Giúp mình với vì tối nay mình phải đi học rồi
1) 2⁴.x - 3.5x = 5² - 2⁴
16x - 15x = 25 - 16
x = 9
2) 3².x + 2²x = 26.2² - 13
9x + 4x = 26.4 - 13
13x = 104 - 13
13x = 91
x = 91 : 13
x = 7
5) 6²x - 5²x = 11.2 - 11
36x - 25x = 22 - 11
11x = 11
x = 11 : 11
x = 1
3) 5²x - 2⁴x = 3⁴ - 16.3²
25x - 16x = 81 - 16.9
9x = -63
x = -63 : 9
x = -7
6) 7²x - 6²x = 13.2³ - 26
49x - 36x = 13.8 - 26
13x = 104 - 26
13x = 78
x = 78 : 13
x = 6
4) 7²x - 14x = 7².10 - 70
49x - 14x = 49.10 - 70
35x = 490 - 70
35x = 420
x = 420 : 35
x = 12
Tính nhanh các giá trị sau
A = \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
B = \(\frac{4^3.2^5+8^2}{8^3.3+16.3^2}\)
Tính nhanh:
a) 4. 12. 72 +6. 11. 8+ 17. 16.3 b) \(\frac{4}{11}:\frac{5}{22}+\frac{9}{10}\)
a,4x2x72+6x11x8+17x16x3= 4800
b,\(\frac{4}{11}\):\(\frac{5}{22}\)+\(\frac{9}{10}\)=\(\frac{5}{2}\)
a, 4.12.72+6.11.8+17.16.3
=48.72+48.11+17.48
=48.(72+11+17)
=48.100
=4800
b, 4/11:5/22+9/10
=8/5+9/10
=5/2
Tính giá trị biểu thức sau:
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\).
2/ \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
3/ \(\frac{2^{12}.13+2^{12}.65}{2^{10}.104}+\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
4/ \(\frac{5.4^{15}-9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
5/ \(\frac{13.4^6.\left(28\frac{7}{13}-27\frac{5}{18}\right)}{59.2^{12}\left(\frac{5}{14}+\frac{5}{84}+\frac{5}{204}+\frac{5}{374}\right)}\)
Tặng người giải mỗi ngày ba điểm hđ :)
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(=\frac{5^{20}.3^{29}-3^{31}.5^{18}}{7.3^{29}.5^{18}-3^{29}.5^{19}}=\frac{3^{29}.5^{18}.\left(25-9\right)}{3^{29}.5^{18}.\left(7-5\right)}=\frac{16}{2}=8\)
CÁC BÀI CÒN LẠI TƯƠNG TỰ HẾT NHÉ E
Thuc hien cac phep tinh sau một cách hợp lí:
a) (10^2 + 11^2 + 12^2) : (13^2 + 14^2)
b) 1.2.3...9-1.2.3...8-1.2.3...7.8^2
c) (3.4.2^16)^2/11.2^13.4^11-16^9
d) 1152 - (374 + 1152) +(-65 + 374)
e) 13-12+11+10-9+8-7-6+5-4+3+2-1
tìm x :
(2x + 5) :4 - (32 +16.3 : 6 - 15) = 0
(2x+5):4-(32+16.3:6-15)=0
(2x+5):4-25=0
(2x+5):4 =0+25
(2x+5):4 =25
(2x+5) =25:4
2x+5 =6,25
2x =6,25-5
2x =1,25
x =1,25:2
x =0,625
các bạn nhớ k cho mình nha
(2x + 5 ): 4 - ( 32 + 16.3 : 6 - 15 ) = 0
(2x + 5 ) : 4 - ( 32 + 48 : 6 - 15 ) = 0
(2x + 5 ) : 4 - ( 32 + 8 - 15 ) = 0
(2x + 5) : 4 - 25 = 0
(2x + 5) : 4 = 0 + 25
(2x + 5 ) : 4 = 25
2x + 5 = 25 x 4
2x + 5 = 100
2x = 100 - 5
2x = 95
=> x = 95 : 2 = 47,5