# What is the simplified form of the cube root of x squared times the third root of x squared?

**Solution:**

The cube root of x squared times the third root of x squared = ∛(x^{2 }× ∛x^{2})

= ∛(x^{2}. x^{2/3})

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

= ∛(x^{8/3})

= (x^{8/3})^{1/3} [(a^{m} )^{n} = a^{mn}]

= x^{8/9}

∛(x^{2 }× ∛x^{2}) = x^{8/9}

## What is the simplified form of the cube root of x squared times the third root of x squared?

**Summary:**

The simplified form of the cube root of x squared times the third root of x squared is x^{8/9}.

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