Whakaoti i te frac{a^{3}*a^{2}*a^-1}{(a^5/a^8)^-1}

$$\frac { a ^ { 3 } \cdot a ^ { 2 } \cdot a ^ { - 1 } } { ( \frac { a ^ { 5 } } { a ^ { 8 } } ) ^ { - 1 } }$$

Aromātai

$$a$$

Ngā Upane Otinga

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

$$\frac{a^{5}a^{-1}}{\left(\frac{a^{5}}{a^{8}}\right)^{-1}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te -1 kia riro ai te 4.

$$\frac{a^{4}}{\left(\frac{a^{5}}{a^{8}}\right)^{-1}}$$

Tuhia anō te a^{8} hei a^{5}a^{3}. Me whakakore tahi te a^{5} i te taurunga me te tauraro.

$$\frac{a^{4}}{\left(\frac{1}{a^{3}}\right)^{-1}}$$

Kia whakarewa i te \frac{1}{a^{3}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{a^{4}}{\frac{1^{-1}}{\left(a^{3}\right)^{-1}}}$$

Whakawehe a^{4} ki te \frac{1^{-1}}{\left(a^{3}\right)^{-1}} mā te whakarea a^{4} ki te tau huripoki o \frac{1^{-1}}{\left(a^{3}\right)^{-1}}.

$$\frac{a^{4}\left(a^{3}\right)^{-1}}{1^{-1}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -1 kia riro ai te -3.

$$\frac{a^{4}a^{-3}}{1^{-1}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te -3 kia riro ai te 1.

$$\frac{a^{1}}{1^{-1}}$$

Tātaihia te a mā te pū o 1, kia riro ko a.

$$\frac{a}{1^{-1}}$$

Tātaihia te 1 mā te pū o -1, kia riro ko 1.

$$\frac{a}{1}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$a$$

Kimi Pārōnaki e ai ki a

$$1$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{5}a^{-1}}{\left(\frac{a^{5}}{a^{8}}\right)^{-1}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te -1 kia riro ai te 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{4}}{\left(\frac{a^{5}}{a^{8}}\right)^{-1}})$$

Tuhia anō te a^{8} hei a^{5}a^{3}. Me whakakore tahi te a^{5} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{4}}{\left(\frac{1}{a^{3}}\right)^{-1}})$$

Kia whakarewa i te \frac{1}{a^{3}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{4}}{\frac{1^{-1}}{\left(a^{3}\right)^{-1}}})$$

Whakawehe a^{4} ki te \frac{1^{-1}}{\left(a^{3}\right)^{-1}} mā te whakarea a^{4} ki te tau huripoki o \frac{1^{-1}}{\left(a^{3}\right)^{-1}}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{4}\left(a^{3}\right)^{-1}}{1^{-1}})$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -1 kia riro ai te -3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{4}a^{-3}}{1^{-1}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te -3 kia riro ai te 1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{1}}{1^{-1}})$$

Tātaihia te a mā te pū o 1, kia riro ko a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{1^{-1}})$$

Tātaihia te 1 mā te pū o -1, kia riro ko 1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{1})$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$a^{1-1}$$

Tango 1 mai i 1.

$$a^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1$$