Question

Tính giá trị biểu thức :

`a)` \(\dfrac{45^{10}.5^{10}}{75^{10}}\)

 

`b)`\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

 

`c)` \(\dfrac{2^{15}.9^{14}}{6^3.8^3}\)

 

`d)`\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)

Answer 1

`a, = (3^20 . 5^20)/(5^20 . 3^10)`.

`= 3^10`

`b, (0,8)^5/(0,4)^6 = 2^5/(0,2) = 32/(0,2) = 160`.

`c, (2^15 . 3^28)/(2^12 . 3^3)`

`= 2^3 . 3^25`

`d, = (2^40+2^20)/(2^12 +2^22)`

`= (2^20(2^20+1))/(2^12(1+2^10))`

`= (2^8(2^20+1))(1+2^10)`.