What is (e^5x(x^2+5)^{-3})/2 ?

The solution to (e^5x(x^2+5)^{-3})/2 is (e^5x)/(2(x^2+5)^3)

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simplify (e^5x(x^2+5)^{-3})/2

simplify

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

\frac{e ^{5} x}{2 ( x ^{2} + 5 ) ^{3}}

Solution steps

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

Multiply

e^{5} x (x^{2} + 5)^{- 3} : \frac{e ^{5} x}{( x ^{2} + 5 ) ^{3}}

= \frac{\frac{e ^{5} x}{( x ^{2} + 5 ) ^{3}}}{2}

Apply the fraction rule:

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

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

\frac{e ^{- t}}{( e ^{- t} ) ^{\frac{1}{2}}}

- 18 a^{3} - 24 a^{2}

(- 2 x^{6} y^{- 4})^{5}

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

\frac{( x + 2 )}{3} + \frac{( 4 x + 1 )}{2}

What is (e^5x(x^2+5)^{-3})/2 ?
The solution to (e^5x(x^2+5)^{-3})/2 is (e^5x)/(2(x^2+5)^3)