Question

5 power n = 200 then √5 power n - 2

Answer 1

Answer:

10√2-2

Step-by-step explanation:

Given expression : $5^n=200$

$(\sqrt{5}) ^n-2=5^\frac{n}{2} -2$

$5^n=5\times10^2$ ⇒ $5^\frac{n}{2} =10\sqrt{2}$ ⇒ ∴$5^\frac{n}{2} -2=10\sqrt{2} -2$