Question

If $\frac{x}{x^{1.5}}=8x^{-1}$ and $x>0$, find x.

• A. $\frac{\sqrt{2}}{4}$
• B. $2\sqrt{2}$
• C. 4
• D. 64

Answer 1

The correct option is D 64

We have,

$\frac{x}{x^{1.5}}=8x^{-1}$

$\frac{1}{x^{0.5}}=\frac{8}{x}$

$\frac{x}{x^{0.5}}=8$

$x^{0.5}=8$

On squaring both sides, we get

$x=64$

Hence, this is the answer.