What is ((p*x^{p-1}))/((q*(x^{p/q))^{q-1})} ?

The solution to ((p*x^{p-1}))/((q*(x^{p/q))^{q-1})} is (px^{(-q+p)/q})/(q)

Popular >

simplify ((px^{p-1}))/((q(x^{p/q))^{q-1})}

simplify

\frac{( p \cdot x ^{p - 1} )}{( q \cdot ( x ^{\frac{p}{q}} ) ^{q - 1} )}

\frac{p x ^{\frac{- q + p}{q}}}{q}

Solution steps

\frac{p x ^{p - 1}}{q ( x ^{\frac{p}{q}} ) ^{q - 1}}

Simplify

(x^{\frac{p}{q}})^{q - 1} : x^{\frac{p ( q - 1 )}{q}}

= \frac{p x ^{p - 1}}{q x ^{\frac{p ( q - 1 )}{q}}}

Simplify

\frac{x ^{p - 1}}{x ^{\frac{p ( q - 1 )}{q}}} : x^{p - 1 - \frac{p ( q - 1 )}{q}}

= \frac{p x ^{p - 1 - \frac{p ( q - 1 )}{q}}}{q}

Join

p - 1 - \frac{p ( q - 1 )}{q} : \frac{- q + p}{q}

= \frac{p x ^{\frac{- q + p}{q}}}{q}

\frac{( 6 a ^{4} + 3 a ^{3} + 6 a ^{2} )}{( 3 a ^{2} )}

(x - y + z)^{2} + 2 (x - y + z) (y - z + x) + (y - z + x)^{2}

\frac{( 9 a ^{9} - 9 a ^{7} + 18 a ^{4} )}{( 15 a ^{8} )}

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

(- 4 x^{3})^{2} \cdot (8 x^{4})^{- 1}

What is ((p*x^{p-1}))/((q*(x^{p/q))^{q-1})} ?
The solution to ((p*x^{p-1}))/((q*(x^{p/q))^{q-1})} is (px^{(-q+p)/q})/(q)