Whakaoti i te 0.001^{-1/3}-(-2)^{-2}64^frac{2{3}}-8^-1frac{1{3}}+(9^0)^2

$$0.001 ^ { - \frac { 1 } { 3 } } - ( - 2 ) ^ { - 2 } 64 ^ { \frac { 2 } { 3 } } - 8 ^ { - 1 \frac { 1 } { 3 } } + ( 9 ^ { 0 } ) ^ { 2 }$$

Aromātai

$$6.9375$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 0 me te 2 kia riro ai te 0.

$$0.001^{-\frac{1}{3}}-\left(-2\right)^{-2}\times 64^{\frac{2}{3}}-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

Tātaihia te 0.001 mā te pū o -\frac{1}{3}, kia riro ko 10.

$$10-\left(-2\right)^{-2}\times 64^{\frac{2}{3}}-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

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

$$10-\frac{1}{4}\times 64^{\frac{2}{3}}-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

Tātaihia te 64 mā te pū o \frac{2}{3}, kia riro ko 16.

$$10-\frac{1}{4}\times 16-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

Whakareatia te \frac{1}{4} ki te 16, ka 4.

$$10-4-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

Tangohia te 4 i te 10, ka 6.

$$6-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

Whakareatia te 1 ki te 3, ka 3.

$$6-8^{-\frac{3+1}{3}}+9^{0}$$

Tāpirihia te 3 ki te 1, ka 4.

$$6-8^{-\frac{4}{3}}+9^{0}$$

Tātaihia te 8 mā te pū o -\frac{4}{3}, kia riro ko \frac{1}{16}.

$$6-\frac{1}{16}+9^{0}$$

Tangohia te \frac{1}{16} i te 6, ka \frac{95}{16}.

$$\frac{95}{16}+9^{0}$$

Tātaihia te 9 mā te pū o 0, kia riro ko 1.

$$\frac{95}{16}+1$$

Tāpirihia te \frac{95}{16} ki te 1, ka \frac{111}{16}.

$$\frac{111}{16}$$

Tauwehe

$$\frac{3 \cdot 37}{2 ^ {4}} = 6\frac{15}{16} = 6.9375$$