\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)

\(b,\)Tương tự

mình cũng hỏi về cái này gấp nha ai biết trả lời câu nào thì trả

  Bài 1:

2^\(x\) = 4

2\(^x\) = 2²

 \(x=2\)

Vậy \(x=2\)

Bài 2:

2\(^x\) = 8

2\(^x\) = 2³

\(x=3\)

Vậy \(x=3\)

a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)

b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)

c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)

d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)

giúp mk vs nha

\(a,\left(3^2\cdot5^2\cdot4^3\right):\left(8\cdot3^2\right)\)

\(=\frac{3^2\cdot5^2\cdot4^3}{8\cdot3^2}\)

\(=\frac{3^2\cdot5^2\cdot2^6}{2^3\cdot3^2}\)

\(=5^2\cdot2^3\)

\(=25\cdot8=200\)

\(b,\left(2^{10}\cdot13+2^9\cdot130\right):\left(2^8\cdot104\right)\)

\(=\frac{2^{10}\cdot13+2^9\cdot130}{2^8\cdot104}\)

\(=\frac{2^9\cdot\left(2\cdot13+130\right)}{2^8\cdot2^3\cdot13}\)

\(=\frac{2^9\cdot156}{2^{11}\cdot13}\)

\(=\frac{2^9\cdot2^3\cdot3\cdot13}{2^{11}\cdot13}\)

\(=\frac{2^{12}\cdot3\cdot13}{2^{11}\cdot13}\)

\(=2.3=6\)

a 200 nhe

các bạn có thể giải chi tiết cho mình được ko . Mình cần ghấp lắm

bạn đang thi toán hay sao mak cần gấp

A=5^10 .9+5^10.7 / 5^9.2^4

A=5^10.(9+7) / 5^9.16

A=5^10.16 /5^9.16

A=5^9.5.16/5^9.16

=>A=5/1

=>A=1

B=2^10.55+2^10. 26 / 2^8 . 27

B=2^10.(55+26) / 2^8 .27

B=2^10.81 / 2^8 .27

B=2^8.2^2.81 / 2^8.27

=>B=2^2.81 / 27

=>B=4.81 / 27

=>B=4.3^3.3 / 3^3

=>B=4.3

=>B=12

Cn phần C thì....mik chưa rõ lém nhưng mak nếu ai cko mik là dzui lém òy......ủng hộ nhoa mina

6 nhaan3 băng2

1. 5³ = 5.5.5 = 125

2. 2⁷ = 2.2.2.2.2.2.2 = 128

3. 4⁴ = 4.4.4.4 = 256

4. 7³ = 7.7.7 = 343

6. 3⁵ = 243

7. 2⁶ =  64

8. 3⁴ =  81

9. 8³ =  512

11. 13² = 169

12. 11² = 121

13. 14² = 196

14. 15² = 225

16. 17² = 289

17. 18² = 324

18. 19² = 361

19. 20² = 400

21. 10⁴ = 10000

22. 10⁵ = 100000

23. 10⁶ = 1000000

24. 10⁷ = 10000000

bạn làm như bạn gia hân là đúng nhé

7: \(\left(xy+4\right)^2-\left(2x+2y\right)^2\)

=(xy+4-2x-2y)(xy+4+2x+2y)

=[x(y-2)-2(y-2)][x(y+2)+2(y+2)]

=(x-2)(y-2)(x+2)(y+2)

8: \(81x^2-64y^2=\left(9x\right)^2-\left(8y\right)^2\)

=(9x-8y)(9x+8y)

9: \(\left(a^2+b^2+5\right)^2-4\left(ab+2\right)^2\)

\(=\left(a^2+b^2+5\right)^2-\left(2ab+4\right)^2\)

\(=\left(a^2+b^2+5-2ab-4\right)\left(a^2+b^2+5+2ab+4\right)\)

\(=\left\lbrack\left(a-b\right)^2+1\right\rbrack\left\lbrack\left(a+b\right)^2+9\right\rbrack\)

10: \(\left(x-1\right)^2-\left(x+1\right)^2\)

=(x-1-x-1)(x-1+x+1)

=2x*(-2)=-4x

11: \(8x^3-\frac18=\left(2x\right)^3-\left(\frac12\right)^3=\left(2x-\frac12\right)\left(4x^2+2x\cdot\frac12+\frac14\right)\)

\(=\left(2x-\frac12\right)\left(4x^2+x+\frac14\right)\)

12: \(\frac{1}{25}x^2-64y^2=\left(\frac15x\right)^2-\left(8y\right)^2=\left(\frac15x-8y\right)\left(\frac15x+8y\right)\)

13: \(x^3+\frac{1}{27}=x^3+\left(\frac13\right)^3=\left(x+\frac13\right)\left(x^2-\frac13x+\frac19\right)\)