Whakaoti i te 4^2*4^9*4^-12=4^2+9-12={4}^-1

$${ 4 }^{ 2 } \times { 4 }^{ 9 } \times { 4 }^{ -12 } = { 4 }^{ 2+9-12 } = { 4 }^{ -1 }$$

Manatoko

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 9 kia riro ai te 11.

$$4^{11}\times 4^{-12}=4^{2+9-12}\text{ and }4^{2+9-12}=4^{-1}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 11 me te -12 kia riro ai te -1.

$$4^{-1}=4^{2+9-12}\text{ and }4^{2+9-12}=4^{-1}$$

Tātaihia te 4 mā te pū o -1, kia riro ko \frac{1}{4}.

$$\frac{1}{4}=4^{2+9-12}\text{ and }4^{2+9-12}=4^{-1}$$

Tāpirihia te 2 ki te 9, ka 11.

$$\frac{1}{4}=4^{11-12}\text{ and }4^{2+9-12}=4^{-1}$$

Tangohia te 12 i te 11, ka -1.

$$\frac{1}{4}=4^{-1}\text{ and }4^{2+9-12}=4^{-1}$$

Tātaihia te 4 mā te pū o -1, kia riro ko \frac{1}{4}.

$$\frac{1}{4}=\frac{1}{4}\text{ and }4^{2+9-12}=4^{-1}$$

Whakatauritea te \frac{1}{4} me te \frac{1}{4}.

$$\text{true}\text{ and }4^{2+9-12}=4^{-1}$$

Tāpirihia te 2 ki te 9, ka 11.

$$\text{true}\text{ and }4^{11-12}=4^{-1}$$

Tangohia te 12 i te 11, ka -1.

$$\text{true}\text{ and }4^{-1}=4^{-1}$$

Tātaihia te 4 mā te pū o -1, kia riro ko \frac{1}{4}.

$$\text{true}\text{ and }\frac{1}{4}=4^{-1}$$

Tātaihia te 4 mā te pū o -1, kia riro ko \frac{1}{4}.

$$\text{true}\text{ and }\frac{1}{4}=\frac{1}{4}$$

Whakatauritea te \frac{1}{4} me te \frac{1}{4}.

$$\text{true}\text{ and }\text{true}$$

Ko te kōmititanga tōrunga o \text{true} me \text{true} ko \text{true}.

$$\text{true}$$