What is x^{3/2}((sqrt(x)-1)/(sqrt(x))) ?

The solution to x^{3/2}((sqrt(x)-1)/(sqrt(x))) is x(sqrt(x)-1)

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simplify x^{3/2}((sqrt(x)-1)/(sqrt(x)))

simplify

x^{\frac{3}{2}} (\frac{x - 1}{x})

x (x - 1)

Solution steps

x^{\frac{3}{2}} (\frac{x - 1}{x})

Apply rule:

(a) = a

(\frac{x - 1}{x}) = \frac{x - 1}{x}

= x^{\frac{3}{2}} \frac{x - 1}{x}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{\frac{3}{2}} ( x - 1 )}{x}

Apply radical rule:

a = a^{\frac{1}{2}}

x = x^{\frac{1}{2}}

= \frac{x ^{\frac{3}{2}} ( x - 1 )}{x ^{\frac{1}{2}}}

Simplify

\frac{x ^{\frac{3}{2}}}{x ^{\frac{1}{2}}} : x

= x (x - 1)

\frac{6}{12} x - 10 = 30

(- 8)^{- \frac{2}{3}}

\frac{\frac{4}{7}}{2}

\frac{x + 2}{2} = x + 1

6 x^{2} - 11 x + 4 = 0

What is x^{3/2}((sqrt(x)-1)/(sqrt(x))) ?
The solution to x^{3/2}((sqrt(x)-1)/(sqrt(x))) is x(sqrt(x)-1)