Whakaoti i te (1/3)^-2+(2/3)^-2+(1/4)^-2

$$( \frac { 1 } { 3 } ) ^ { - 2 } + ( \frac { 2 } { 3 } ) ^ { - 2 } + ( \frac { 1 } { 4 } ) ^ { - 2 }$$

Aromātai

$$\frac{109}{4}=27.25$$

Ngā Upane Otinga

Tātaihia te \frac{1}{3} mā te pū o -2, kia riro ko 9.

$$9+\left(\frac{2}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}$$

Tātaihia te \frac{2}{3} mā te pū o -2, kia riro ko \frac{9}{4}.

$$9+\frac{9}{4}+\left(\frac{1}{4}\right)^{-2}$$

Tāpirihia te 9 ki te \frac{9}{4}, ka \frac{45}{4}.

$$\frac{45}{4}+\left(\frac{1}{4}\right)^{-2}$$

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

$$\frac{45}{4}+16$$

Tāpirihia te \frac{45}{4} ki te 16, ka \frac{109}{4}.

$$\frac{109}{4}$$

Tauwehe

$$\frac{109}{2 ^ {2}} = 27\frac{1}{4} = 27.25$$