What is (sqrt(5))/(sqrt(x^3)) ?

The solution to (sqrt(5))/(sqrt(x^3)) is (sqrt(5))/(xsqrt(x))

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simplify (sqrt(5))/(sqrt(x^3))

simplify

\frac{5}{x ^{3}}

\frac{5}{x x}

Solution steps

\frac{5}{x ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2 + 1} = x^{2} x

= \frac{5}{x ^{2} x}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{2} x = x^{2} x

= \frac{5}{x ^{2} x}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= \frac{5}{x x}

(2 c^{\frac{3}{5}}) (2 c^{\frac{1}{5}})

x^{2} (1 - x^{2})^{2}

e e^{- x}

e^{2 x} \cdot e^{x}

What is (sqrt(5))/(sqrt(x^3)) ?
The solution to (sqrt(5))/(sqrt(x^3)) is (sqrt(5))/(xsqrt(x))