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 × aⁿ = 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 = 12²

So we get,

x = 144

Therefore, the possible value of x is 144.

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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.