Rešite 139*10^-3*24^-15*2/sqrt{2*pi*4*10^-15*2}

$$\frac { 139 \times 10 ^ { - 3 } \times 24 ^ { - 15 } \times 2 } { \sqrt { 2 } \times \pi \times 4 \times 10 ^ { - 15 } \times 2 }$$

Ovrednoti

$$\frac{33935546875\sqrt{2}}{986049380773527552\pi }\approx 0,000000015$$

Koraki rešitve

Okrajšaj 2 v števcu in imenovalcu.

$$\frac{139\times 10^{-3}\times 24^{-15}}{4\pi \sqrt{2}\times 10^{-15}}$$

Če želite deliti potence enake osnove, odštejte eksponent imenovalca od eksponenta števca.

$$\frac{139\times 10^{12}\times 24^{-15}}{4\pi \sqrt{2}}$$

Izračunajte potenco 10 števila 12, da dobite 1000000000000.

$$\frac{139\times 1000000000000\times 24^{-15}}{4\pi \sqrt{2}}$$

Pomnožite 139 in 1000000000000, da dobite 139000000000000.

$$\frac{139000000000000\times 24^{-15}}{4\pi \sqrt{2}}$$

Izračunajte potenco 24 števila -15, da dobite \frac{1}{504857282956046106624}.

$$\frac{139000000000000\times \frac{1}{504857282956046106624}}{4\pi \sqrt{2}}$$

Pomnožite 139000000000000 in \frac{1}{504857282956046106624}, da dobite \frac{33935546875}{123256172596690944}.

$$\frac{\frac{33935546875}{123256172596690944}}{4\pi \sqrt{2}}$$

Racionalizirajte imenovalec \frac{\frac{33935546875}{123256172596690944}}{4\pi \sqrt{2}} tako, da pomnožite števec in imenovalec s \sqrt{2}.

$$\frac{\frac{33935546875}{123256172596690944}\sqrt{2}}{4\pi \left(\sqrt{2}\right)^{2}}$$

Kvadrat vrednosti \sqrt{2} je 2.

$$\frac{\frac{33935546875}{123256172596690944}\sqrt{2}}{4\pi \times 2}$$

Pomnožite 4 in 2, da dobite 8.

$$\frac{\frac{33935546875}{123256172596690944}\sqrt{2}}{8\pi }$$