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a10×b3×c9a9×b6×c9\frac{a^{10} \times b^{3} \times c^{9}}{a^{9} \times b^{6} \times c^{9}}a9×b6×c9a10×b3×c9​ is simplified form is:​
Question

a10×b3×c9a9×b6×c9\frac{a^{10} \times b^{3} \times c^{9}}{a^{9} \times b^{6} \times c^{9}} is simplified form is:​

A.

a1×b3×c10a^{-1} \times b^{-3} \times c^{-10}​​

B.

(a1)×(b3)×(c0)(a^{1}) \times (b^{-3}) \times (c^{0})​​

C.

(a1)×(b9)×(c7)(a^{1}) \times (b^{-9}) \times (c^{-7})​​

D.

(a1)×(b9)×(c8)(a^{-1}) \times (b^{-9}) \times (c^{-8})​​

Correct option is B

Given: 

​​a10×b3×c9a9×b6×c9\frac{a^{10} \times b^{3} \times c^{9}}{a^{9} \times b^{6} \times c^{9}}  

Concept Used:

aman=amn\frac{a^m}{a^n} = a^{m-n} , bmbn=bmn\frac{b^m}{b^n} = b^{m-n} , cmcn=cmn\frac{c^m }{c^n} = c^{m-n} .

Solution:  

a10×b3×c9a9×b6×c9 =a(109)×b(36)×c(99) =a1×b3×c0\frac{a^{10} \times b^{3} \times c^{9}}{a^{9} \times b^{6} \times c^{9}} \\ \ \\ =a^{(10-9)}\times b^{(3-6)} \times c^{(9-9)} \\ \ \\ = a^1 \times b^{-3}\times c^0

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