Whakaoti i te B=(frac{8*x^{8}}{3^{3}})^2:(3^2/2*x^5)^-3

$$B = ( \frac { 8 \cdot x ^ { 8 } } { 3 ^ { 3 } } ) ^ { 2 } : ( \frac { 3 ^ { 2 } } { 2 \cdot x ^ { 5 } } ) ^ { - 3 }$$

Whakaoti mō B

$$B=8x$$

$$x\neq 0$$

Ngā Upane Otinga

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$B=\frac{\left(\frac{8x^{8}}{27}\right)^{2}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

Kia whakarewa i te \frac{8x^{8}}{27} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{9}{2x^{5}}\right)^{-3}}$$

Kia whakarewa i te \frac{9}{2x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\frac{9^{-3}}{\left(2x^{5}\right)^{-3}}}$$

Whakawehe \frac{\left(8x^{8}\right)^{2}}{27^{2}} ki te \frac{9^{-3}}{\left(2x^{5}\right)^{-3}} mā te whakarea \frac{\left(8x^{8}\right)^{2}}{27^{2}} ki te tau huripoki o \frac{9^{-3}}{\left(2x^{5}\right)^{-3}}.

$$B=\frac{\left(8x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Whakarohaina te \left(8x^{8}\right)^{2}.

$$B=\frac{8^{2}\left(x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 8 me te 2 kia riro ai te 16.

$$B=\frac{8^{2}x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$B=\frac{64x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Whakarohaina te \left(2x^{5}\right)^{-3}.

$$B=\frac{64x^{16}\times 2^{-3}\left(x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te -3 kia riro ai te -15.

$$B=\frac{64x^{16}\times 2^{-3}x^{-15}}{27^{2}\times 9^{-3}}$$

Tātaihia te 2 mā te pū o -3, kia riro ko \frac{1}{8}.

$$B=\frac{64x^{16}\times \frac{1}{8}x^{-15}}{27^{2}\times 9^{-3}}$$

Whakareatia te 64 ki te \frac{1}{8}, ka 8.

$$B=\frac{8x^{16}x^{-15}}{27^{2}\times 9^{-3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 16 me te -15 kia riro ai te 1.

$$B=\frac{8x^{1}}{27^{2}\times 9^{-3}}$$

Tātaihia te 27 mā te pū o 2, kia riro ko 729.

$$B=\frac{8x^{1}}{729\times 9^{-3}}$$

Tātaihia te 9 mā te pū o -3, kia riro ko \frac{1}{729}.

$$B=\frac{8x^{1}}{729\times \frac{1}{729}}$$

Whakareatia te 729 ki te \frac{1}{729}, ka 1.

$$B=\frac{8x^{1}}{1}$$

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

$$B=8x^{1}$$

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

$$B=8x$$

Whakaoti mō x

$$x=\frac{B}{8}$$

$$B\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$B=\frac{\left(\frac{8x^{8}}{27}\right)^{2}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

Kia whakarewa i te \frac{8x^{8}}{27} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{3^{2}}{2x^{5}}\right)^{-3}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\left(\frac{9}{2x^{5}}\right)^{-3}}$$

Kia whakarewa i te \frac{9}{2x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$B=\frac{\frac{\left(8x^{8}\right)^{2}}{27^{2}}}{\frac{9^{-3}}{\left(2x^{5}\right)^{-3}}}$$

Whakawehe \frac{\left(8x^{8}\right)^{2}}{27^{2}} ki te \frac{9^{-3}}{\left(2x^{5}\right)^{-3}} mā te whakarea \frac{\left(8x^{8}\right)^{2}}{27^{2}} ki te tau huripoki o \frac{9^{-3}}{\left(2x^{5}\right)^{-3}}.

$$B=\frac{\left(8x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Whakarohaina te \left(8x^{8}\right)^{2}.

$$B=\frac{8^{2}\left(x^{8}\right)^{2}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 8 me te 2 kia riro ai te 16.

$$B=\frac{8^{2}x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$B=\frac{64x^{16}\times \left(2x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Whakarohaina te \left(2x^{5}\right)^{-3}.

$$B=\frac{64x^{16}\times 2^{-3}\left(x^{5}\right)^{-3}}{27^{2}\times 9^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te -3 kia riro ai te -15.

$$B=\frac{64x^{16}\times 2^{-3}x^{-15}}{27^{2}\times 9^{-3}}$$

Tātaihia te 2 mā te pū o -3, kia riro ko \frac{1}{8}.

$$B=\frac{64x^{16}\times \frac{1}{8}x^{-15}}{27^{2}\times 9^{-3}}$$

Whakareatia te 64 ki te \frac{1}{8}, ka 8.

$$B=\frac{8x^{16}x^{-15}}{27^{2}\times 9^{-3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 16 me te -15 kia riro ai te 1.

$$B=\frac{8x^{1}}{27^{2}\times 9^{-3}}$$

Tātaihia te 27 mā te pū o 2, kia riro ko 729.

$$B=\frac{8x^{1}}{729\times 9^{-3}}$$

Tātaihia te 9 mā te pū o -3, kia riro ko \frac{1}{729}.

$$B=\frac{8x^{1}}{729\times \frac{1}{729}}$$

Whakareatia te 729 ki te \frac{1}{729}, ka 1.

$$B=\frac{8x^{1}}{1}$$

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

$$B=8x^{1}$$

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

$$B=8x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$8x=B$$

Whakawehea ngā taha e rua ki te 8.

$$\frac{8x}{8}=\frac{B}{8}$$

Mā te whakawehe ki te 8 ka wetekia te whakareanga ki te 8.

$$x=\frac{B}{8}$$