Whakaoti i te 4*27*x*4*27*4*27/4*27*4*27-1*4*27

$$\frac { 4 \cdot 27 \cdot x \cdot 4 \cdot 27 \times 4 \cdot 27 } { 4 \cdot 27 \times 4 \cdot 27 - 1 \times 4 \cdot 27 }$$

Aromātai

$$\frac{11664x}{107}$$

Ngā Upane Otinga

Whakareatia te 4 ki te 27, ka 108.

$$\frac{108x\times 4\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Whakareatia te 108 ki te 4, ka 432.

$$\frac{432x\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Whakareatia te 432 ki te 27, ka 11664.

$$\frac{11664x\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Whakareatia te 11664 ki te 4, ka 46656.

$$\frac{46656x\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Whakareatia te 46656 ki te 27, ka 1259712.

$$\frac{1259712x}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Whakareatia te 4 ki te 27, ka 108.

$$\frac{1259712x}{108\times 4\times 27-1\times 4\times 27}$$

Whakareatia te 108 ki te 4, ka 432.

$$\frac{1259712x}{432\times 27-1\times 4\times 27}$$

Whakareatia te 432 ki te 27, ka 11664.

$$\frac{1259712x}{11664-1\times 4\times 27}$$

Whakareatia te 1 ki te 4, ka 4.

$$\frac{1259712x}{11664-4\times 27}$$

Whakareatia te 4 ki te 27, ka 108.

$$\frac{1259712x}{11664-108}$$

Tangohia te 108 i te 11664, ka 11556.

$$\frac{1259712x}{11556}$$

Whakawehea te 1259712x ki te 11556, kia riro ko \frac{11664}{107}x.

$$\frac{11664}{107}x$$

Kimi Pārōnaki e ai ki x

$$\frac{11664}{107} = 109\frac{1}{107} = 109.00934579439253$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakareatia te 4 ki te 27, ka 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{108x\times 4\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Whakareatia te 108 ki te 4, ka 432.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{432x\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Whakareatia te 432 ki te 27, ka 11664.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11664x\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Whakareatia te 11664 ki te 4, ka 46656.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{46656x\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Whakareatia te 46656 ki te 27, ka 1259712.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Whakareatia te 4 ki te 27, ka 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{108\times 4\times 27-1\times 4\times 27})$$

Whakareatia te 108 ki te 4, ka 432.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{432\times 27-1\times 4\times 27})$$

Whakareatia te 432 ki te 27, ka 11664.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-1\times 4\times 27})$$

Whakareatia te 1 ki te 4, ka 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-4\times 27})$$

Whakareatia te 4 ki te 27, ka 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-108})$$

Tangohia te 108 i te 11664, ka 11556.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11556})$$

Whakawehea te 1259712x ki te 11556, kia riro ko \frac{11664}{107}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11664}{107}x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{11664}{107}x^{1-1}$$

Tango 1 mai i 1.

$$\frac{11664}{107}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{11664}{107}\times 1$$

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

$$\frac{11664}{107}$$