\(\rm \frac{(a^5\times b^3\times c^7)}{(a^4\times b^8\times c^9)}\) in simplified form is:  

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SSC CGL 2024 Tier-II Official Paper-I (Held On: 20 Jan, 2025)
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  1. (a-1) × (b4) × (c-5)
  2. (a1) × (b-5) × (c-2​)
  3. (a-3) × (b-10) × (c-4)
  4. (a6) × (b6) × (c-4​)

Answer (Detailed Solution Below)

Option 2 : (a1) × (b-5) × (c-2​)
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Detailed Solution

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Given:

\(\dfrac{a^5 \times b^3 \times c^7}{a^4 \times b^8 \times c^9}\)

Formula used:

\(\dfrac{a^m}{a^n} = a^{m-n}\)

\(\dfrac{b^m}{b^n} = b^{m-n}\)

\(\dfrac{c^m}{c^n} = c^{m-n}\)

Calculations:

\(\dfrac{a^5 \times b^3 \times c^7}{a^4 \times b^8 \times c^9} \)

⇒ a5-4 × b3-8 × c7-9

⇒ a1 × b-5 × c-2

∴ The correct answer is option 2.

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