K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

5 tháng 9 2019

a) \(9.x-2.x=\frac{6^{27}}{6^{25}}+\frac{48}{12}\)

\(\Leftrightarrow7x=6^2+4\)

\(\Leftrightarrow7x=36+4=40\)

\(\Leftrightarrow x=\frac{40}{7}\)

Vậy : \(x=\frac{40}{7}\)

b) \(11^x=5.x+\frac{5^{31}}{5^{29}}+3.2^2-10^0\)

\(\Leftrightarrow11^x=5x+5^2+12-1\)

\(\Leftrightarrow11^x=5x+36\)

\(\Rightarrow x\in\varnothing\)

16 tháng 12 2023

1: \(78+22+18\)

\(=\left(78+22\right)+18\)

=100+18

=118

2: \(94+563+\left(106-563\right)-\left(-70\right)\)

\(=94+563+106-563+70\)

\(=\left(94+106\right)-\left(563-563\right)+70\)

=100-0+70

=170

3: \(25\cdot154-25+47\cdot25\)

\(=25\left(154-1+47\right)\)

\(=25\cdot200=5000\)

4: \(\left[5^{29}+5^{30}\left(16-11\right)\right]:5^{29}\)

\(=\left(5^{29}+5^{30}\cdot5\right):5^{29}\)

\(=\dfrac{5^{29}\cdot1+5^{29}\cdot5^2}{5^{29}}\)

\(=1+5^2=26\)

8: \(25\cdot2^3-\left(9-14\right)+\left(29-34+20\right)\)

\(=25\cdot8-\left(-5\right)+\left(-5\right)+20\)

\(=200+5-5+20\)

=220

18 tháng 7 2023

\(A=5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9\)

\(A=5\cdot\left(2^2\right)^{15}\cdot\left(3^2\right)^9-2^2\cdot3^{20}\cdot\left(2^3\right)^9\)

\(A=5\cdot2^{30}\cdot3^{18}-2^2\cdot3^{20}\cdot2^{27}\)

\(A=5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}\)

\(A=2^{29}\cdot3^{18}\cdot\left(5\cdot2^1\cdot1-1\cdot3^2\right)\)

\(A=2^{29}\cdot3^{18}\cdot\left(5-9\right)\)

\(A=-2^2\cdot2^{29}\cdot3^{18}\)

\(A=-2^{31}\cdot3^{18}\)

_______________

\(B=5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6\)

\(B=5\cdot2^9\cdot2^{19}\cdot3^{19}-7\cdot2^{29}\cdot\left(3^3\right)^6\)

\(B=5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}\)

\(B=2^{28}\cdot3^{18}\cdot\left(5\cdot1\cdot3-7\cdot2\cdot1\right)\)

\(B=2^{28}\cdot3^{18}\cdot\left(15-14\right)\)

\(B=2^{28}\cdot3^{18}\)

Ta có: \(A:B\)

\(=\left(-2^{31}\cdot3^{18}\right):\left(2^{28}\cdot3^{18}\right)\)

\(=\left(-2^{31}:2^{28}\right)\cdot\left(3^{18}:3^{18}\right)\)

\(=-2^3\cdot1\)

\(=-8\)

hepl me :(

chiều nay mình phải nộp rồi

6 tháng 2 2017

\(\frac{9^{14}\cdot25^5\cdot8^7}{18^{12}\cdot625^3\cdot24^3}=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{2^{12}\cdot3^{24}\cdot5^{12}\cdot2^9\cdot3^3}=\frac{3\cdot3^{27}\cdot5^{10}\cdot2^{21}}{2^{21}\cdot3^{27}\cdot5^2\cdot5^{10}}=\frac{3}{5^2}=\frac{3}{25}\)

21 tháng 9 2021

\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)

\(=\)\(\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3^3}\)

\(=\)\(\frac{3.3^{27}.5^{10}.2^{21}}{2^{21}.3^{27}.5^2.5^{10}}\)

\(=\)\(\frac{3}{5^2}\)

\(=\)\(\frac{3}{25}\)

12 tháng 9 2019

Đề bài bạn 3 câu sai nha !

\(a,\text{ }3^x=34\)

\(\Rightarrow\text{ }x\in\varnothing\)

\(b,\text{ }2^{2x-3}=29\)

\(\Rightarrow\text{ }x\in\varnothing\)

\(c,\text{ }2^x=64\)

\(2^x=2^6\)

\(\Rightarrow\text{ }x=6\)

\(d,\text{ }x^2=16\)

\(x^2=\left(\pm4\right)^2\)

\(x=\pm4\)

\(e,\text{ }15^x=34\)

\(x\in\varnothing\)

12 tháng 9 2019

Bạn viết nhầm đề à ?

\(a,\text{ }3^x=34\)

\(\Rightarrow\text{ }x\in\varnothing\)

\(b,\text{ }2^{2x-3}=29\)

\(\Rightarrow\text{ }x\in\varnothing\)

\(c,\text{ }2^x=64\)

\(2^x=2^6\)

\(\Rightarrow\text{ }x=6\)

\(d,\text{ }x^2=16\)

\(x^2=\left(\pm4\right)^2\)

\(x=\pm4\)

\(e,\text{ }15^x=34\)

\(x\in\varnothing\)

30 tháng 11 2019

23.27.24=23+7+4=214

23.24:25=23+4-5=27

(-3)+(-125)+(-25)

=-128+(-25)

=-153

25+(-38)=25-38=-13

126+159=285

120+(-135)+200

=120-135+200

=-15+200

=185

30 tháng 11 2019

2^3x2^7=2^10x2^4=2^14=16384
2^3x2^4=2^7:2^5=2^2=4
1300-(150.2+(900+90):9)=1300-(150.2+990:9)=1300-(300+11)=1300-311=989
(-3) + (-125)+(-25)= -(3+125+25)= -153

25 + (-38)= -(38-25)= - 13

(126)+159=285

(120)+(-135)+200= -(135-120) + 200= (-15) + 200= +(200-15)=185