Solve:
16³ᐟ² + 16⁻³ᐟ² = ?
Show answer & explanation
Correct answer: A
Explanation
Given:
16³ᐟ² + 16⁻³ᐟ²
According to the formulas:
aᵐ⁄ⁿ = (√a)ᵐ
a⁻ˣ = 1/aˣ
16³ᐟ² = (√16)³ = 4³ = 64
16⁻³ᐟ² = 1 / 16³ᐟ² = 1 / 64
64 + 1/64
= (4096 + 1) / 64
= 4097/64