What is the simplified form of the fourth root of x squared times the fourth root of x squared?

Solution:

The fourth root of x squared times the fourth root of x squared = ∜x² × ∜x²

= (x²)^1/4 × (x²)^1/4

= (x)^2/4 × (x)^2/4 [(a^m)ⁿ = a^mn ]

= (x)^1/2 × (x)^1/2

Using exponents and powers rule, a^m × aⁿ = a^{m + n}

= (x)^{1/2 + 1/2} = x

∜x² × ∜x² = x

Therefore, the simplified form of the fourth root of x squared times the fourth root of x squared is x.

What is the simplified form of the fourth root of x squared times the fourth root of x squared?

Summary:

The simplified form of the fourth root of x squared times the fourth root of x squared is x.