Aromātai
\frac{4}{3y}
Whakaroha
\frac{4}{3y}
Pātaitai
Algebra
\frac { ( 4 x ^ { 3 } ) ( 2 x ^ { - 1 } ) ^ { 3 } } { ( 8 y ^ { 2 } ) ( 3 y ^ { - 1 } ) }
Tohaina
Kua tāruatia ki te papatopenga
\frac{4x^{3}\times \left(2x^{-1}\right)^{3}}{8y^{1}\times 3}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -1 kia riro ai te 1.
\frac{\left(2\times \frac{1}{x}\right)^{3}x^{3}}{2\times 3y^{1}}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{\left(\frac{2}{x}\right)^{3}x^{3}}{2\times 3y^{1}}
Tuhia te 2\times \frac{1}{x} hei hautanga kotahi.
\frac{\frac{2^{3}}{x^{3}}x^{3}}{2\times 3y^{1}}
Kia whakarewa i te \frac{2}{x} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.
\frac{2^{3}}{2\times 3y^{1}}
Me whakakore te x^{3} me te x^{3}.
\frac{2^{3}}{6y^{1}}
Whakareatia te 2 ki te 3, ka 6.
\frac{2^{3}}{6y}
Tātaihia te y mā te pū o 1, kia riro ko y.
\frac{8}{6y}
Tātaihia te 2 mā te pū o 3, kia riro ko 8.
\frac{4x^{3}\times \left(2x^{-1}\right)^{3}}{8y^{1}\times 3}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -1 kia riro ai te 1.
\frac{\left(2\times \frac{1}{x}\right)^{3}x^{3}}{2\times 3y^{1}}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{\left(\frac{2}{x}\right)^{3}x^{3}}{2\times 3y^{1}}
Tuhia te 2\times \frac{1}{x} hei hautanga kotahi.
\frac{\frac{2^{3}}{x^{3}}x^{3}}{2\times 3y^{1}}
Kia whakarewa i te \frac{2}{x} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.
\frac{2^{3}}{2\times 3y^{1}}
Me whakakore te x^{3} me te x^{3}.
\frac{2^{3}}{6y^{1}}
Whakareatia te 2 ki te 3, ka 6.
\frac{2^{3}}{6y}
Tātaihia te y mā te pū o 1, kia riro ko y.
\frac{8}{6y}
Tātaihia te 2 mā te pū o 3, kia riro ko 8.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}