Whakaoti i te frac{4^{0}+2^-1}{(-3)^2+5^-3-(-2)^3}

$$\frac { 4 ^ { 0 } + 2 ^ { - 1 } } { ( - 3 ) ^ { 2 } + 5 ^ { - 3 } - ( - 2 ) ^ { 3 } }$$

Aromātai

$$\frac{375}{4252}\approx 0.088193791$$

Ngā Upane Otinga

Tātaihia te 4 mā te pū o 0, kia riro ko 1.

$$\frac{1+2^{-1}}{\left(-3\right)^{2}+5^{-3}-\left(-2\right)^{3}}$$

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

$$\frac{1+\frac{1}{2}}{\left(-3\right)^{2}+5^{-3}-\left(-2\right)^{3}}$$

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

$$\frac{\frac{3}{2}}{\left(-3\right)^{2}+5^{-3}-\left(-2\right)^{3}}$$

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$\frac{\frac{3}{2}}{9+5^{-3}-\left(-2\right)^{3}}$$

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

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

Tāpirihia te 9 ki te \frac{1}{125}, ka \frac{1126}{125}.

$$\frac{\frac{3}{2}}{\frac{1126}{125}-\left(-2\right)^{3}}$$

Tātaihia te -2 mā te pū o 3, kia riro ko -8.

$$\frac{\frac{3}{2}}{\frac{1126}{125}-\left(-8\right)}$$

Ko te tauaro o -8 ko 8.

$$\frac{\frac{3}{2}}{\frac{1126}{125}+8}$$

Tāpirihia te \frac{1126}{125} ki te 8, ka \frac{2126}{125}.

$$\frac{\frac{3}{2}}{\frac{2126}{125}}$$

Whakawehe \frac{3}{2} ki te \frac{2126}{125} mā te whakarea \frac{3}{2} ki te tau huripoki o \frac{2126}{125}.

$$\frac{3}{2}\times \frac{125}{2126}$$

Whakareatia te \frac{3}{2} ki te \frac{125}{2126}, ka \frac{375}{4252}.

$$\frac{375}{4252}$$

Tauwehe

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {2} \cdot 1063} = 0.08819379115710255$$