Simplify the expression:

$$\frac{a^5 imes b^3 imes c^7}{a^4 imes b^8 imes c^9}$$

Question

Simplify the expression:

$$\frac{a^5 	imes b^3 	imes c^7}{a^4 	imes b^8 	imes c^9}$$

Accepted Answer

**Solution:**

1. Given expression:
   $$\frac{a^5 	imes b^3 	imes c^7}{a^4 	imes b^8 	imes c^9}$$

2. Apply the law of exponents for division: $$\frac{x^m}{x^n} = x^{m-n}$$

3. Simplify each variable separately:
   - For *a*: $$a^{5-4} = a^1$$
   - For *b*: $$b^{3-8} = b^{-5}$$
   - For *c*: $$c^{7-9} = c^{-2}$$

4. Combine the results:
   $$a^1 	imes b^{-5} 	imes c^{-2}$$

**Answer:** $(a^1) 	imes (b^{-5}) 	imes (c^{-2})$

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