Whakaoti i te 3(x)^2/2(x)^2

$$\frac { 3 ( x ) ^ { 2 } } { 2 ( x ) ^ { 2 } }$$

Aromātai

$$\frac{3}{2}=1.5$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(3x^{2}\right)^{1}\times \frac{1}{2x^{2}}$$

Hei hiki i te hua o ngā tau e rua, neke atu rānei ki tētahi pū, hīkina ia tau ki te pū ka tuhi ko tāna hua.

$$3^{1}\left(x^{2}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$3^{1}\times \frac{1}{2}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

$$3^{1}\times \frac{1}{2}x^{2}x^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$3^{1}\times \frac{1}{2}x^{2}x^{-2}$$

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$3^{1}\times \frac{1}{2}x^{2-2}$$

Tāpirihia ngā taupū 2 me -2.

$$3^{1}\times \frac{1}{2}x^{0}$$

Hīkina te 3 ki te pū 1.

$$3\times \frac{1}{2}x^{0}$$

Whakareatia 3 ki te \frac{1}{2}.

$$\frac{3}{2}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{3}{2}\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\frac{3}{2}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{3^{1}x^{2}}{2^{1}x^{2}}$$

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

$$\frac{3^{1}x^{2-2}}{2^{1}}$$

Tango 2 mai i 2.

$$\frac{3^{1}x^{0}}{2^{1}}$$

Mō tētahi tau a mahue te 0, a^{0}=1.

$$\frac{3^{1}}{2^{1}}$$

Whakawehe 3 ki te 2.

$$\frac{3}{2}$$

Tauwehe

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$