Whakaoti i te (19/16)^frac{1{2}}+01^-2-(-314)^0-(-8/27)^-frac{1{3}}

$$( 1 \frac { 9 } { 16 } ) ^ { \frac { 1 } { 2 } } + 01 ^ { - 2 } - ( - 314 ) ^ { 0 } - ( - \frac { 8 } { 27 } ) ^ { - \frac { 1 } { 3 } }$$

Aromātai

$$\frac{7}{4}=1.75$$

Ngā Upane Otinga

Whakareatia te 1 ki te 16, ka 16.

$$\left(\frac{16+9}{16}\right)^{\frac{1}{2}}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tāpirihia te 16 ki te 9, ka 25.

$$\left(\frac{25}{16}\right)^{\frac{1}{2}}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tātaihia te \frac{25}{16} mā te pū o \frac{1}{2}, kia riro ko \frac{5}{4}.

$$\frac{5}{4}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tātaihia te 1 mā te pū o -2, kia riro ko 1.

$$\frac{5}{4}+0\times 1-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Whakareatia te 0 ki te 1, ka 0.

$$\frac{5}{4}+0-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tāpirihia te \frac{5}{4} ki te 0, ka \frac{5}{4}.

$$\frac{5}{4}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tātaihia te -314 mā te pū o 0, kia riro ko 1.

$$\frac{5}{4}-1-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tangohia te 1 i te \frac{5}{4}, ka \frac{1}{4}.

$$\frac{1}{4}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Tātaihia te -\frac{8}{27} mā te pū o -\frac{1}{3}, kia riro ko -\frac{3}{2}.

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

Ko te tauaro o -\frac{3}{2} ko \frac{3}{2}.

$$\frac{1}{4}+\frac{3}{2}$$

Tāpirihia te \frac{1}{4} ki te \frac{3}{2}, ka \frac{7}{4}.

$$\frac{7}{4}$$

Tauwehe

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$