Rešite frac{(-16a^{5}x^{3})^{3}}{(4a^{3}x^4)^3*(-2ax^3)^5}

$$\frac { ( - 16 a ^ { 5 } x ^ { 3 } ) ^ { 3 } } { ( 4 a ^ { 3 } x ^ { 4 } ) ^ { 3 } \cdot ( - 2 a x ^ { 3 } ) ^ { 5 } }$$

Ovrednoti

$$\frac{2a}{x^{18}}$$

Koraki rešitve

Razčlenite \left(-16a^{5}x^{3}\right)^{3}.

$$\frac{\left(-16\right)^{3}\left(a^{5}\right)^{3}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 5 in 3, da dobite 15.

$$\frac{\left(-16\right)^{3}a^{15}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 3 in 3, da dobite 9.

$$\frac{\left(-16\right)^{3}a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Izračunajte potenco -16 števila 3, da dobite -4096.

$$\frac{-4096a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Razčlenite \left(4a^{3}x^{4}\right)^{3}.

$$\frac{-4096a^{15}x^{9}}{4^{3}\left(a^{3}\right)^{3}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 3 in 3, da dobite 9.

$$\frac{-4096a^{15}x^{9}}{4^{3}a^{9}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 4 in 3, da dobite 12.

$$\frac{-4096a^{15}x^{9}}{4^{3}a^{9}x^{12}\left(-2ax^{3}\right)^{5}}$$

Izračunajte potenco 4 števila 3, da dobite 64.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2ax^{3}\right)^{5}}$$

Razčlenite \left(-2ax^{3}\right)^{5}.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}\left(x^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 3 in 5, da dobite 15.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}x^{15}}$$

Izračunajte potenco -2 števila 5, da dobite -32.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-32\right)a^{5}x^{15}}$$

Pomnožite 64 in -32, da dobite -2048.

$$\frac{-4096a^{15}x^{9}}{-2048a^{9}x^{12}a^{5}x^{15}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 9 in 5, da dobite 14.

$$\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{12}x^{15}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 12 in 15, da dobite 27.

$$\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{27}}$$

Okrajšaj 2048x^{9}a^{14} v števcu in imenovalcu.

$$\frac{-2a}{-x^{18}}$$

Okrajšaj -1 v števcu in imenovalcu.

$$\frac{2a}{x^{18}}$$

Razširi

$$\frac{2a}{x^{18}}$$

Koraki rešitve

Razčlenite \left(-16a^{5}x^{3}\right)^{3}.

$$\frac{\left(-16\right)^{3}\left(a^{5}\right)^{3}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 5 in 3, da dobite 15.

$$\frac{\left(-16\right)^{3}a^{15}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 3 in 3, da dobite 9.

$$\frac{\left(-16\right)^{3}a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Izračunajte potenco -16 števila 3, da dobite -4096.

$$\frac{-4096a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Razčlenite \left(4a^{3}x^{4}\right)^{3}.

$$\frac{-4096a^{15}x^{9}}{4^{3}\left(a^{3}\right)^{3}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 3 in 3, da dobite 9.

$$\frac{-4096a^{15}x^{9}}{4^{3}a^{9}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 4 in 3, da dobite 12.

$$\frac{-4096a^{15}x^{9}}{4^{3}a^{9}x^{12}\left(-2ax^{3}\right)^{5}}$$

Izračunajte potenco 4 števila 3, da dobite 64.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2ax^{3}\right)^{5}}$$

Razčlenite \left(-2ax^{3}\right)^{5}.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}\left(x^{3}\right)^{5}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 3 in 5, da dobite 15.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}x^{15}}$$

Izračunajte potenco -2 števila 5, da dobite -32.

$$\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-32\right)a^{5}x^{15}}$$

Pomnožite 64 in -32, da dobite -2048.

$$\frac{-4096a^{15}x^{9}}{-2048a^{9}x^{12}a^{5}x^{15}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 9 in 5, da dobite 14.

$$\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{12}x^{15}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 12 in 15, da dobite 27.

$$\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{27}}$$

Okrajšaj 2048x^{9}a^{14} v števcu in imenovalcu.

$$\frac{-2a}{-x^{18}}$$

Okrajšaj -1 v števcu in imenovalcu.

$$\frac{2a}{x^{18}}$$