# When simplified, the expression is (x^{1/8})(x^{3/8}) is 12. What is a possible value of x?

**Solution:**

Given: The product of (x^{1/8})(x^{3/8}) is 12

⇒ (x^{1/8})(x^{3/8}) = 12

Using the formula a^{m} × a^{n} = a^{m+n}

x^{(1/8 + 3/8)} = 12

By further calculation

x^{(1+3)/8} = 12

x^{4/8} = 12

On further simplification

x^{1/2} = 12

x = 12^{2}

So we get,

x = 144

Therefore, the possible value of x is 144.

## When simplified, the expression is (x^{1/8})(x^{3/8}) is 12. What is a possible value of x?

**Summary:**

When simplified, the expression is (x^{1/8})(x^{3/8}) is 12. The possible value of x is 144.

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