Whakaoti i te 5^-3+5^-4=k*5^-4

$$5 ^ { - 3 } + 5 ^ { - 4 } = k \times 5 ^ { - 4 }$$

Whakaoti mō k

$$k=6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 5 mā te pū o -3, kia riro ko \frac{1}{125}.

$$\frac{1}{125}+5^{-4}=k\times 5^{-4}$$

Tātaihia te 5 mā te pū o -4, kia riro ko \frac{1}{625}.

$$\frac{1}{125}+\frac{1}{625}=k\times 5^{-4}$$

Tāpirihia te \frac{1}{125} ki te \frac{1}{625}, ka \frac{6}{625}.

$$\frac{6}{625}=k\times 5^{-4}$$

Tātaihia te 5 mā te pū o -4, kia riro ko \frac{1}{625}.

$$\frac{6}{625}=k\times \frac{1}{625}$$

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

$$k\times \frac{1}{625}=\frac{6}{625}$$

Me whakarea ngā taha e rua ki te 625, te tau utu o \frac{1}{625}.

$$k=\frac{6}{625}\times 625$$

Whakareatia te \frac{6}{625} ki te 625, ka 6.

$$k=6$$