Whakaoti i te (8mn^2/m^-3n)^-2*(n^5z/4m)

Aromātai

Whakaroha

Pātaitai

Algebra

5 raruraru e ōrite ana ki:

Ngā Raru Ōrite mai i te Rapu Tukutuku

https://socratic.org/questions/how-do-you-multiply-and-simplify-frac-n-2-4-n-2-cdot-frac-7n-n-2-4n-12

https://socratic.org/questions/how-do-you-simplify-frac-n-0-n-m-3-2-cdot-2m-3-n-1

https://socratic.org/questions/how-do-you-simplify-the-expression-4m-4-6m-2n-5-3n-1-m-2-using-the-properties

https://socratic.org/questions/how-do-you-simplify-frac-r-81-cdot-r-6-cdot-r-6-r-87-using-positive-exponents

https://socratic.org/questions/how-do-you-simplify-frac-2m-n-2-p-4-m-n-4-p-3-4-cdot-n-m-4-p-4

Tohaina

Kua tāruatia ki te papatopenga

\left(\frac{8mn}{m^{-3}}\right)^{-2}\times \frac{n^{5}z}{4m}

Me whakakore tahi te n i te taurunga me te tauraro.

\left(8nm^{4}\right)^{-2}\times \frac{n^{5}z}{4m}

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

8^{-2}n^{-2}\left(m^{4}\right)^{-2}\times \frac{n^{5}z}{4m}

Whakarohaina te \left(8nm^{4}\right)^{-2}.

8^{-2}n^{-2}m^{-8}\times \frac{n^{5}z}{4m}

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -2 kia riro ai te -8.

\frac{1}{64}n^{-2}m^{-8}\times \frac{n^{5}z}{4m}

Tātaihia te 8 mā te pū o -2, kia riro ko \frac{1}{64}.

\frac{n^{5}z}{64\times 4m}n^{-2}m^{-8}

Me whakarea te \frac{1}{64} ki te \frac{n^{5}z}{4m} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

\frac{n^{5}z}{256m}n^{-2}m^{-8}

Whakareatia te 64 ki te 4, ka 256.

\frac{n^{5}zn^{-2}}{256m}m^{-8}

Tuhia te \frac{n^{5}z}{256m}n^{-2} hei hautanga kotahi.

\frac{n^{5}zn^{-2}m^{-8}}{256m}

Tuhia te \frac{n^{5}zn^{-2}}{256m}m^{-8} hei hautanga kotahi.

\frac{n^{-2}zn^{5}}{256m^{9}}

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

\frac{n^{3}z}{256m^{9}}

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 5 kia riro ai te 3.