Question

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

Answer 1

we have  

$(x^{\frac{1}{8}})(x^{\frac{3}{8}})=12$

we know that

$(x^{\frac{1}{8}})(x^{\frac{3}{8}})=12\\ \\x^{(\frac{1}{8}+{\frac{3}{8}})}=12\\ \\x^{\frac{4}{8}}=12\\ \\x^{\frac{1}{2}}=12$

Square both sides

$x^{(\frac{1}{2})^{2}} =12^{2}$

$x^{\frac{2}{2}}=12^{2} \\\\x=144$

therefore

the answer is the option C

$144$

Answer 2

The answer is 144. So c.