Whakaoti i te 7^13:7^11text{ede}2^-4.2^5?

$$7 ^ { 13 } : 7 ^ { 11 } \text { e de } 2 ^ { - 4 } .2 ^ { 5 } ?$$

Aromātai

$$\frac{49e^{2}d}{50000}$$

Ngā Upane Otinga

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 11 i te 13 kia riro ai te 2.

$$7^{2}ede\times 2^{-4}\times 0.2^{5}$$

Whakareatia te e ki te e, ka e^{2}.

$$7^{2}e^{2}d\times 2^{-4}\times 0.2^{5}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$49e^{2}d\times 2^{-4}\times 0.2^{5}$$

Tātaihia te 2 mā te pū o -4, kia riro ko \frac{1}{16}.

$$49e^{2}d\times \frac{1}{16}\times 0.2^{5}$$

Whakareatia te 49 ki te \frac{1}{16}, ka \frac{49}{16}.

$$\frac{49}{16}e^{2}d\times 0.2^{5}$$

Tātaihia te 0.2 mā te pū o 5, kia riro ko 0.00032.

$$\frac{49}{16}e^{2}d\times 0.00032$$

Whakareatia te \frac{49}{16} ki te 0.00032, ka \frac{49}{50000}.

$$\frac{49}{50000}e^{2}d$$

Kimi Pārōnaki e ai ki d

$$\frac{49e^{2}}{50000}$$