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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{a^{2}\times 2^{3}c^{-2}}{\left(\frac{a}{-1}\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -2 kia riro ai te -6.
\frac{a^{2}\times 8c^{-2}}{\left(\frac{a}{-1}\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}
Tātaihia te 2 mā te pū o 3, kia riro ko 8.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}
Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times \frac{1}{2}\right)^{2}}\right)^{-2}
Tātaihia te 2 mā te pū o -1, kia riro ko \frac{1}{2}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\right)^{2}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}
Whakarohaina te \left(a^{2}\times \frac{1}{2}\right)^{2}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \frac{1}{4}}\right)^{-2}
Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\times \frac{1}{4}\right)^{-2}}
Kia whakarewa i te \frac{c}{a^{4}\times \frac{1}{4}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\right)^{-2}\times \left(\frac{1}{4}\right)^{-2}}
Whakarohaina te \left(a^{4}\times \frac{1}{4}\right)^{-2}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times \left(\frac{1}{4}\right)^{-2}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -2 kia riro ai te -8.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times 16}
Tātaihia te \frac{1}{4} mā te pū o -2, kia riro ko 16.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{2c^{-2}}{a^{-8}\times 16}
Tuhia te 2\times \frac{c^{-2}}{a^{-8}\times 16} hei hautanga kotahi.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{c^{-2}}{8a^{-8}}
Me whakakore tahi te 2 i te taurunga me te tauraro.
\frac{a^{2}\times 8c^{-2}}{\left(-1\right)^{-6}a^{-6}}-\frac{c^{-2}}{8a^{-8}}
Whakarohaina te \left(-a\right)^{-6}.
\frac{a^{2}\times 8c^{-2}}{1a^{-6}}-\frac{c^{-2}}{8a^{-8}}
Tātaihia te -1 mā te pū o -6, kia riro ko 1.
8c^{-2}a^{8}-\frac{c^{-2}}{8a^{-8}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}}-\frac{c^{-2}}{8a^{-8}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 8c^{-2}a^{8} ki te \frac{8a^{-8}}{8a^{-8}}.
\frac{8c^{-2}a^{8}\times 8a^{-8}-c^{-2}}{8a^{-8}}
Tā te mea he rite te tauraro o \frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}} me \frac{c^{-2}}{8a^{-8}}, me tango rāua mā te tango i ō raua taurunga.
\frac{64c^{-2}-c^{-2}}{8a^{-8}}
Mahia ngā whakarea i roto o 8c^{-2}a^{8}\times 8a^{-8}-c^{-2}.
\frac{63c^{-2}}{8a^{-8}}
Whakakotahitia ngā kupu rite i 64c^{-2}-c^{-2}.
\frac{a^{2}\times 2^{3}c^{-2}}{\left(\frac{a}{-1}\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -2 kia riro ai te -6.
\frac{a^{2}\times 8c^{-2}}{\left(\frac{a}{-1}\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}
Tātaihia te 2 mā te pū o 3, kia riro ko 8.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times 2^{-1}\right)^{2}}\right)^{-2}
Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\times \frac{1}{2}\right)^{2}}\right)^{-2}
Tātaihia te 2 mā te pū o -1, kia riro ko \frac{1}{2}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{\left(a^{2}\right)^{2}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}
Whakarohaina te \left(a^{2}\times \frac{1}{2}\right)^{2}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \left(\frac{1}{2}\right)^{2}}\right)^{-2}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \left(\frac{c}{a^{4}\times \frac{1}{4}}\right)^{-2}
Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\times \frac{1}{4}\right)^{-2}}
Kia whakarewa i te \frac{c}{a^{4}\times \frac{1}{4}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{\left(a^{4}\right)^{-2}\times \left(\frac{1}{4}\right)^{-2}}
Whakarohaina te \left(a^{4}\times \frac{1}{4}\right)^{-2}.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times \left(\frac{1}{4}\right)^{-2}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -2 kia riro ai te -8.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-2\times \frac{c^{-2}}{a^{-8}\times 16}
Tātaihia te \frac{1}{4} mā te pū o -2, kia riro ko 16.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{2c^{-2}}{a^{-8}\times 16}
Tuhia te 2\times \frac{c^{-2}}{a^{-8}\times 16} hei hautanga kotahi.
\frac{a^{2}\times 8c^{-2}}{\left(-a\right)^{-6}}-\frac{c^{-2}}{8a^{-8}}
Me whakakore tahi te 2 i te taurunga me te tauraro.
\frac{a^{2}\times 8c^{-2}}{\left(-1\right)^{-6}a^{-6}}-\frac{c^{-2}}{8a^{-8}}
Whakarohaina te \left(-a\right)^{-6}.
\frac{a^{2}\times 8c^{-2}}{1a^{-6}}-\frac{c^{-2}}{8a^{-8}}
Tātaihia te -1 mā te pū o -6, kia riro ko 1.
8c^{-2}a^{8}-\frac{c^{-2}}{8a^{-8}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}}-\frac{c^{-2}}{8a^{-8}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 8c^{-2}a^{8} ki te \frac{8a^{-8}}{8a^{-8}}.
\frac{8c^{-2}a^{8}\times 8a^{-8}-c^{-2}}{8a^{-8}}
Tā te mea he rite te tauraro o \frac{8c^{-2}a^{8}\times 8a^{-8}}{8a^{-8}} me \frac{c^{-2}}{8a^{-8}}, me tango rāua mā te tango i ō raua taurunga.
\frac{64c^{-2}-c^{-2}}{8a^{-8}}
Mahia ngā whakarea i roto o 8c^{-2}a^{8}\times 8a^{-8}-c^{-2}.
\frac{63c^{-2}}{8a^{-8}}
Whakakotahitia ngā kupu rite i 64c^{-2}-c^{-2}.