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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Ikkalkula 4 bil-power ta' 0 u tikseb 1.

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

Ikkalkula 2 bil-power ta' -1 u tikseb \frac{1}{2}.

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

Żid 1 u \frac{1}{2} biex tikseb \frac{3}{2}.

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

Ikkalkula -3 bil-power ta' 2 u tikseb 9.

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

Ikkalkula 5 bil-power ta' -3 u tikseb \frac{1}{125}.

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

Żid 9 u \frac{1}{125} biex tikseb \frac{1126}{125}.

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

Ikkalkula -2 bil-power ta' 3 u tikseb -8.

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

L-oppost ta' -8 huwa 8.

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

Żid \frac{1126}{125} u 8 biex tikseb \frac{2126}{125}.

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

Iddividi \frac{3}{2} b'\frac{2126}{125} billi timmultiplika \frac{3}{2} bir-reċiproku ta' \frac{2126}{125}.

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

Immultiplika \frac{3}{2} u \frac{125}{2126} biex tikseb \frac{375}{4252}.

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

Fattur

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