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# 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 = ∜x^{2 }× ∜x^{2}

= (x^{2})^{1/4} × (x^{2})^{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} × a^{n} = a^{m + n}

= (x)^{1/2 + 1/2} = x

∜x^{2 }× ∜x^{2 }= 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.

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