If k + 1/k = 4, then what is the value of k⁴ + 1/k⁴?
Correct Answer: 194
Subject: Mathematics
Explanation: Given: k + 1/k = 4.
Squaring both sides: (k + 1/k)² = 4²
⇒ k² + 1/k² + 2 = 16
⇒ k² + 1/k² = 14.
Squaring both sides again: (k² + 1/k²)² = 14²
⇒ k⁴ + 1/k⁴ + 2 = 196
⇒ k⁴ + 1/k⁴ = 194.