Question

What does x(x^0.5) = ?

Answer 1

If x^(3/2) = 125000, what does x equal?

Answer 2

x^(a/b) = b root of x^a

Answer 3

is it not a root of x^b?

Answer 4

a/b, b would be the root, a the exponent

Answer 5

\[x(x^{0.5})=x^1\times x^{0.5}=x^{1.5}=x^{3/2}\\
x^{3/2}=125000\\
\text{lets take cube root}\\
(x^{3/2})^{1/3}=(125000)^{1/3}\\
x^{1/2}=\ldots\\
\text{now square both sides}\\
x=\ldots.
\]