If R = xS⁴, when S = 5 and R = 6, then find value of R when S = 8?

If R = xS⁴, when S = 5 and R = 6, then find value of R when S = 8?

Explanation

R = xS⁴  

When S = 5, R = 6  

So,  

6 = x × (5)⁴ = x × 625  

⇒ x = 6 / 625


Now find R when S = 8:  

R = (6 / 625) × (8)⁴ = (6 / 625) × 4096  

= 24576 / 625 = 39.3216