We can simplify the expression as follows:
√10/^4 √8 = (√10 / √8) / ^4
To simplify the expression further, we can rationalize the denominator by multiplying the numerator and denominator by √8:
(√10 / √8) / ^4 = (√10 / √8) * (1 / ^4√8) = (√80 / 8) = √(16*5) / 8 = (4/8) √5 = 1/2 √5
Therefore, the equivalent expression is 1/2 √5.