Whakaoti i te (frac{27a^{5}b^{3}}{14a^{-2}b})(frac{3a^{-5}b^0}{7b^2a^-1})^-3

$$( \frac { 27 a ^ { 5 } b ^ { 3 } } { 14 a ^ { - 2 } b } ) ( \frac { 3 a ^ { - 5 } b ^ { 0 } } { 7 b ^ { 2 } a ^ { - 1 } } ) ^ { - 3 }$$

Aromātai

$$\frac{49b^{8}a^{19}}{2}$$

Ngā Upane Otinga

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

$$\frac{27b^{2}a^{5}}{14a^{-2}}\times \left(\frac{3a^{-5}b^{0}}{7b^{2}a^{-1}}\right)^{-3}$$

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

$$\frac{27b^{2}a^{7}}{14}\times \left(\frac{3a^{-5}b^{0}}{7b^{2}a^{-1}}\right)^{-3}$$

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

$$\frac{27b^{2}a^{7}}{14}\times \left(\frac{3}{7b^{2}a^{4}}\right)^{-3}$$

Kia whakarewa i te \frac{3}{7b^{2}a^{4}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{27b^{2}a^{7}}{14}\times \frac{3^{-3}}{\left(7b^{2}a^{4}\right)^{-3}}$$

Me whakarea te \frac{27b^{2}a^{7}}{14} ki te \frac{3^{-3}}{\left(7b^{2}a^{4}\right)^{-3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{27b^{2}a^{7}\times 3^{-3}}{14\times \left(7b^{2}a^{4}\right)^{-3}}$$

Tātaihia te 3 mā te pū o -3, kia riro ko \frac{1}{27}.

$$\frac{27b^{2}a^{7}\times \frac{1}{27}}{14\times \left(7b^{2}a^{4}\right)^{-3}}$$

Whakareatia te 27 ki te \frac{1}{27}, ka 1.

$$\frac{b^{2}a^{7}}{14\times \left(7b^{2}a^{4}\right)^{-3}}$$

Whakarohaina te \left(7b^{2}a^{4}\right)^{-3}.

$$\frac{b^{2}a^{7}}{14\times 7^{-3}\left(b^{2}\right)^{-3}\left(a^{4}\right)^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -3 kia riro ai te -6.

$$\frac{b^{2}a^{7}}{14\times 7^{-3}b^{-6}\left(a^{4}\right)^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -3 kia riro ai te -12.

$$\frac{b^{2}a^{7}}{14\times 7^{-3}b^{-6}a^{-12}}$$

Tātaihia te 7 mā te pū o -3, kia riro ko \frac{1}{343}.

$$\frac{b^{2}a^{7}}{14\times \frac{1}{343}b^{-6}a^{-12}}$$

Whakareatia te 14 ki te \frac{1}{343}, ka \frac{2}{49}.

$$\frac{b^{2}a^{7}}{\frac{2}{49}b^{-6}a^{-12}}$$

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

$$\frac{b^{8}a^{19}}{\frac{2}{49}}$$

Whakawehe b^{8}a^{19} ki te \frac{2}{49} mā te whakarea b^{8}a^{19} ki te tau huripoki o \frac{2}{49}.

$$\frac{b^{8}a^{19}\times 49}{2}$$

Whakaroha

$$\frac{49b^{8}a^{19}}{2}$$

Ngā Upane Otinga

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

$$\frac{27b^{2}a^{5}}{14a^{-2}}\times \left(\frac{3a^{-5}b^{0}}{7b^{2}a^{-1}}\right)^{-3}$$

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

$$\frac{27b^{2}a^{7}}{14}\times \left(\frac{3a^{-5}b^{0}}{7b^{2}a^{-1}}\right)^{-3}$$

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

$$\frac{27b^{2}a^{7}}{14}\times \left(\frac{3}{7b^{2}a^{4}}\right)^{-3}$$

Kia whakarewa i te \frac{3}{7b^{2}a^{4}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{27b^{2}a^{7}}{14}\times \frac{3^{-3}}{\left(7b^{2}a^{4}\right)^{-3}}$$

Me whakarea te \frac{27b^{2}a^{7}}{14} ki te \frac{3^{-3}}{\left(7b^{2}a^{4}\right)^{-3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{27b^{2}a^{7}\times 3^{-3}}{14\times \left(7b^{2}a^{4}\right)^{-3}}$$

Tātaihia te 3 mā te pū o -3, kia riro ko \frac{1}{27}.

$$\frac{27b^{2}a^{7}\times \frac{1}{27}}{14\times \left(7b^{2}a^{4}\right)^{-3}}$$

Whakareatia te 27 ki te \frac{1}{27}, ka 1.

$$\frac{b^{2}a^{7}}{14\times \left(7b^{2}a^{4}\right)^{-3}}$$

Whakarohaina te \left(7b^{2}a^{4}\right)^{-3}.

$$\frac{b^{2}a^{7}}{14\times 7^{-3}\left(b^{2}\right)^{-3}\left(a^{4}\right)^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -3 kia riro ai te -6.

$$\frac{b^{2}a^{7}}{14\times 7^{-3}b^{-6}\left(a^{4}\right)^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -3 kia riro ai te -12.

$$\frac{b^{2}a^{7}}{14\times 7^{-3}b^{-6}a^{-12}}$$

Tātaihia te 7 mā te pū o -3, kia riro ko \frac{1}{343}.

$$\frac{b^{2}a^{7}}{14\times \frac{1}{343}b^{-6}a^{-12}}$$

Whakareatia te 14 ki te \frac{1}{343}, ka \frac{2}{49}.

$$\frac{b^{2}a^{7}}{\frac{2}{49}b^{-6}a^{-12}}$$

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

$$\frac{b^{8}a^{19}}{\frac{2}{49}}$$

Whakawehe b^{8}a^{19} ki te \frac{2}{49} mā te whakarea b^{8}a^{19} ki te tau huripoki o \frac{2}{49}.

$$\frac{b^{8}a^{19}\times 49}{2}$$