Rešite [(1/2x^2y^3)^3]^2

$$[ ( \frac { 1 } { 2 } x ^ { 2 } y ^ { 3 } ) ^ { 3 } ] ^ { 2 }$$

Ovrednoti

$$\frac{x^{12}y^{18}}{64}$$

Koraki rešitve

Razčlenite \left(\frac{1}{2}x^{2}y^{3}\right)^{3}.

$$\left(\left(\frac{1}{2}\right)^{3}\left(x^{2}\right)^{3}\left(y^{3}\right)^{3}\right)^{2}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 3, da dobite 6.

$$\left(\left(\frac{1}{2}\right)^{3}x^{6}\left(y^{3}\right)^{3}\right)^{2}$$

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

$$\left(\left(\frac{1}{2}\right)^{3}x^{6}y^{9}\right)^{2}$$

Izračunajte potenco \frac{1}{2} števila 3, da dobite \frac{1}{8}.

$$\left(\frac{1}{8}x^{6}y^{9}\right)^{2}$$

Razčlenite \left(\frac{1}{8}x^{6}y^{9}\right)^{2}.

$$\left(\frac{1}{8}\right)^{2}\left(x^{6}\right)^{2}\left(y^{9}\right)^{2}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 6 in 2, da dobite 12.

$$\left(\frac{1}{8}\right)^{2}x^{12}\left(y^{9}\right)^{2}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 9 in 2, da dobite 18.

$$\left(\frac{1}{8}\right)^{2}x^{12}y^{18}$$

Izračunajte potenco \frac{1}{8} števila 2, da dobite \frac{1}{64}.

$$\frac{1}{64}x^{12}y^{18}$$

Razširi

$$\frac{x^{12}y^{18}}{64}$$

Koraki rešitve

Razčlenite \left(\frac{1}{2}x^{2}y^{3}\right)^{3}.

$$\left(\left(\frac{1}{2}\right)^{3}\left(x^{2}\right)^{3}\left(y^{3}\right)^{3}\right)^{2}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 3, da dobite 6.

$$\left(\left(\frac{1}{2}\right)^{3}x^{6}\left(y^{3}\right)^{3}\right)^{2}$$

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

$$\left(\left(\frac{1}{2}\right)^{3}x^{6}y^{9}\right)^{2}$$

Izračunajte potenco \frac{1}{2} števila 3, da dobite \frac{1}{8}.

$$\left(\frac{1}{8}x^{6}y^{9}\right)^{2}$$

Razčlenite \left(\frac{1}{8}x^{6}y^{9}\right)^{2}.

$$\left(\frac{1}{8}\right)^{2}\left(x^{6}\right)^{2}\left(y^{9}\right)^{2}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 6 in 2, da dobite 12.

$$\left(\frac{1}{8}\right)^{2}x^{12}\left(y^{9}\right)^{2}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 9 in 2, da dobite 18.

$$\left(\frac{1}{8}\right)^{2}x^{12}y^{18}$$

Izračunajte potenco \frac{1}{8} števila 2, da dobite \frac{1}{64}.

$$\frac{1}{64}x^{12}y^{18}$$