When simplified, the expression is 12. which is a possible value of x? 6 24 144 256

Asked by maham237 @ 20/12/2020 in Mathematics viewed by 388 People

Answered by maham237 @ 20/12/2020

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

$144$

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