Option (C) is the correct one and 4/x²√29 is the equivalent expression of 40x²√x^12 / 10x²√29x^8.
Given, an expression
40x²√x^12 / 10x²√29x^8, if x ≠ 0
On simplifying, we get
= 40x²x^6 / 10x²√29x^8
= (40/10)(x^8/x^8)(1/x²√29)
= 4/x²√29
So, on simplifying the given expression, we get
= 4/x²√29
Hence, Option (C) is the correct one and 4/x²√29 is the equivalent expression of 40x²√x^12 / 10x²√29x^8.
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