Problem-Solving Strategies · Superchallenge problem

Evaluate $\dfrac{\left(2^4 + \tfrac14\right)\left(4^4 + \tfrac14\right)\left(6^4 + \tfrac14\right)\left(8^4 + \tfrac14\right)\left(10^4 + \tfrac14\right)}{\left(1^4 + \tfrac14\right)\left(3^4 + \tfrac14\right)\left(5^4 + \tfrac14\right)\left(7^4 + \tfrac14\right)\left(9^4 + \tfrac14\right)}$.