化简 (\sqrt[3]{w}*sqrt(w^5))/(sqrt(25w^{16))}

解答

化简

\frac{3 w \cdot w ^{5}}{25 w ^{16}}

\frac{1}{5 6 w ^{31}}

求解步骤

\frac{3 w w ^{5}}{25 w ^{16}}

化简

25 w^{16} : 5 w^{8}

= \frac{3 w w ^{5}}{5 w ^{8}}

化简

w^{5} : w^{2} w

= \frac{3 w w ^{2} w}{5 w ^{8}}

化简

\frac{w ^{2}}{w ^{8}} : \frac{1}{w ^{6}}

= \frac{3 w w}{5 w ^{6}}

化简

\frac{3 w w}{5 w ^{6}} : \frac{1}{5 w ^{\frac{31}{6}}}

= \frac{1}{5 w ^{\frac{31}{6}}}

w^{\frac{31}{6}} = 6 w^{31}

= \frac{1}{5 6 w ^{31}}

s im pl i f y \frac{lo g _{10} ( 4 )}{lo g _{10} ( 3 )}

e x p an d (5 + x) (5 - x)

e x p an d (5 x^{4} - y^{3})^{2}

e x p an d (2 x + 1) (x - 2) (x + 3)

s im pl i f y \frac{2}{3} lo g_{10} (\frac{1 0 ^{12}}{1 0 ^{4.4}})