Question

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

A. 6
B. 24
C. 144
D. 256

Answer 1

\(\Large \left(x^{\frac{1}{8}} \right) \left(x^{\frac{3}{8}} \right) =12\)

use this rule-> \(x^a \times x^b= x^{a+b}\)

we get this-

\[\left( x^{\frac{ 1 }{ 8 } +\frac{ 3 }{ 8}}\right)=12 \]
\(\Large x^{\frac{4}{8}}=12\)
\(x^{\frac{1}{2} } =12\)
\(x=144\)