Whakaoti i te 3^-2*(frac{1/5)^-3*sqrt[3]{27}}{3-1/3-2*(-1/2+1)}=

$$\frac { 3 ^ { - 2 } \cdot ( \frac { 1 } { 5 } ) ^ { - 3 } \cdot \sqrt[ 3 ] { 27 } } { 3 - \frac { 1 } { 3 } - 2 \cdot ( - \frac { 1 } { 2 } + 1 ) } =$$

Aromātai

$$25$$

Ngā Upane Otinga

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

$$\frac{\frac{1}{9}\times \left(\frac{1}{5}\right)^{-3}\sqrt[3]{27}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

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

$$\frac{\frac{1}{9}\times 125\sqrt[3]{27}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Whakareatia te \frac{1}{9} ki te 125, ka \frac{125}{9}.

$$\frac{\frac{125}{9}\sqrt[3]{27}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Tātaitia te \sqrt[3]{27} kia tae ki 3.

$$\frac{\frac{125}{9}\times 3}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Whakareatia te \frac{125}{9} ki te 3, ka \frac{125}{3}.

$$\frac{\frac{125}{3}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Tangohia te \frac{1}{3} i te 3, ka \frac{8}{3}.

$$\frac{\frac{125}{3}}{\frac{8}{3}-2\left(-\frac{1}{2}+1\right)}$$

Tāpirihia te -\frac{1}{2} ki te 1, ka \frac{1}{2}.

$$\frac{\frac{125}{3}}{\frac{8}{3}-2\times \frac{1}{2}}$$

Whakareatia te 2 ki te \frac{1}{2}, ka 1.

$$\frac{\frac{125}{3}}{\frac{8}{3}-1}$$

Tangohia te 1 i te \frac{8}{3}, ka \frac{5}{3}.

$$\frac{\frac{125}{3}}{\frac{5}{3}}$$

Whakawehe \frac{125}{3} ki te \frac{5}{3} mā te whakarea \frac{125}{3} ki te tau huripoki o \frac{5}{3}.

$$\frac{125}{3}\times \frac{3}{5}$$

Whakareatia te \frac{125}{3} ki te \frac{3}{5}, ka 25.

$$25$$

Tauwehe

$$5^{2}$$