What is (7x^{1/2}+3)/(x*(-5/((3sqrt(x))))) ?

The solution to (7x^{1/2}+3)/(x*(-5/((3sqrt(x))))) is -(3(7x^{1/2}+3))/(5sqrt(x))

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simplify (7x^{1/2}+3)/(x*(-5/((3sqrt(x)))))

simplify

\frac{7 x ^{\frac{1}{2}} + 3}{x \cdot ( - \frac{5}{( 3 x )} )}

- \frac{3 ( 7 x ^{\frac{1}{2}} + 3 )}{5 x}

Solution steps

\frac{7 x ^{\frac{1}{2}} + 3}{x ( - \frac{5}{3 x} )}

Apply rule:

a (- b) = - ab

x (- \frac{5}{3 x}) = - x \frac{5}{3 x}

= \frac{7 x ^{\frac{1}{2}} + 3}{- x \frac{5}{3 x}}

Simplify

- x \frac{5}{3 x} : - \frac{5 x}{3}

= \frac{7 x ^{\frac{1}{2}} + 3}{- \frac{5 x}{3}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{7 x ^{\frac{1}{2}} + 3}{\frac{5 x}{3}}

Apply the fraction rule:

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

\frac{7 x ^{\frac{1}{2}} + 3}{\frac{5 x}{3}} = \frac{( 7 x ^{\frac{1}{2}} + 3 ) \cdot 3}{5 x}

= - \frac{( 7 x ^{\frac{1}{2}} + 3 ) \cdot 3}{5 x}

= - \frac{3 ( 7 x ^{\frac{1}{2}} + 3 )}{5 x}

(w^{- 3})^{5}

(- 5 - a) (- 5 - a)

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

\frac{a ^{2} + 1 - 6}{( a ^{2} )}

\frac{( y - x )}{( x ^{2} - y ^{2} )}

What is (7x^{1/2}+3)/(x*(-5/((3sqrt(x))))) ?
The solution to (7x^{1/2}+3)/(x*(-5/((3sqrt(x))))) is -(3(7x^{1/2}+3))/(5sqrt(x))