Whakaoti i te (2/3)^2+(1/4)^-2-(sqrt{4/9}-1/2)=16.111

$$( \frac { 2 } { 3 } ) ^ { 2 } + ( \frac { 1 } { 4 } ) ^ { - 2 } - ( \sqrt { \frac { 4 } { 9 } } - \frac { 1 } { 2 } ) = 16.111$$

Manatoko

Ngā Upane Otinga

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

$$\frac{4}{9}+\left(\frac{1}{4}\right)^{-2}-\left(\sqrt{\frac{4}{9}}-\frac{1}{2}\right)=16.111$$

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

$$\frac{4}{9}+16-\left(\sqrt{\frac{4}{9}}-\frac{1}{2}\right)=16.111$$

Tāpirihia te \frac{4}{9} ki te 16, ka \frac{148}{9}.

$$\frac{148}{9}-\left(\sqrt{\frac{4}{9}}-\frac{1}{2}\right)=16.111$$

Tuhia anō te pūtake rua o te whakawehenga \frac{4}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{148}{9}-\left(\frac{2}{3}-\frac{1}{2}\right)=16.111$$

Tangohia te \frac{1}{2} i te \frac{2}{3}, ka \frac{1}{6}.

$$\frac{148}{9}-\frac{1}{6}=16.111$$

Tangohia te \frac{1}{6} i te \frac{148}{9}, ka \frac{293}{18}.

$$\frac{293}{18}=16.111$$

Me tahuri ki tau ā-ira 16.111 ki te hautau \frac{16111}{1000}.

$$\frac{293}{18}=\frac{16111}{1000}$$

Ko te maha noa iti rawa atu o 18 me 1000 ko 9000. Me tahuri \frac{293}{18} me \frac{16111}{1000} ki te hautau me te tautūnga 9000.

$$\frac{146500}{9000}=\frac{144999}{9000}$$

Whakatauritea te \frac{146500}{9000} me te \frac{144999}{9000}.

$$\text{false}$$