Question

if x=√10000
what's the value of x^8+1/x^8​

Answer 1

Let x⁸ be written as (x²)⁴

so,

x⁸ + 1/x⁸

⇒ (x²)⁴ + 1/(x²)⁴

⇒ [(√10000)²]⁴ + 1/ [(√10000)²]⁴

⇒ (10000)⁴ + 1/(10000)⁴

⇒ (10000)⁴ + (10000)⁻⁴

⇒ (10000)⁴⁻⁴

⇒ (10000)⁰

⇒ 1

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The Value of x⁸ + 1/x⁸ is 1 .