$$\frac{a^{10}×b^{(-7)}×c^{(-4)}}{a^{(-5)}×b^2×c^5 }$$​ in simplified form is:

Correct option is D

Given: ​

​$$\frac{a^{10}×b^{(-7)}×c^{(-4)}}{a^{(-5)}×b^2×c^5 }$$ 

Formula Used: 

​$$\frac{x^a}{x^b} = x^{a-b}$$ 

Solution: ​

​$$\frac{a^{10}×b^{(-7)}×c^{(-4)}}{a^{(-5)}×b^2×c^5 } \\ \ \\ = a^{10 -(-5)} \times b^{(-7) - 2}\times c^{(-4)-5} \\ \ \\ = a^{15} \times b^{-9}\times c^{-9}$$ ​