Riješi [(3/5xy)^2:(3/5x)]^3:(3/5x)^2}:(3/5y^2)

$$[ ( \frac { 3 } { 5 } x y ) ^ { 2 } : ( \frac { 3 } { 5 } x ) ] ^ { 3 } : ( \frac { 3 } { 5 } x ) ^ { 2 } \} : ( \frac { 3 } { 5 } y ^ { 2 } )$$

Izračunaj

$$\frac{3xy^{6}}{5}$$

Koraci rješenja

Proširivanje broja \left(\frac{3}{5}xy\right)^{2}.

$$\frac{\left(\frac{\left(\frac{3}{5}\right)^{2}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Izračunajte koliko je 2 na \frac{3}{5} da biste dobili \frac{9}{25}.

$$\frac{\left(\frac{\frac{9}{25}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Skratite x u brojniku i nazivniku.

$$\frac{\left(\frac{\frac{9}{25}xy^{2}}{\frac{3}{5}}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Podijelite \frac{9}{25}xy^{2} s \frac{3}{5} tako da pomnožite \frac{9}{25}xy^{2} s brojem recipročnim broju \frac{3}{5}.

$$\frac{\left(\frac{\frac{9}{25}xy^{2}\times 5}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Pomnožite \frac{9}{25} i 5 da biste dobili \frac{9}{5}.

$$\frac{\left(\frac{\frac{9}{5}xy^{2}}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Podijelite \frac{9}{5}xy^{2} s 3 da biste dobili \frac{3}{5}xy^{2}.

$$\frac{\left(\frac{3}{5}xy^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Proširivanje broja \left(\frac{3}{5}xy^{2}\right)^{3}.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}\left(y^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Da biste izračunali potenciju potencije, pomnožite eksponente. Pomnožite 2 i 3 da biste dobili 6.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Izračunajte koliko je 3 na \frac{3}{5} da biste dobili \frac{27}{125}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Proširivanje broja \left(\frac{3}{5}x\right)^{2}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}\right)^{2}x^{2}}$$

Izračunajte koliko je 2 na \frac{3}{5} da biste dobili \frac{9}{25}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\frac{9}{25}x^{2}}$$

Skratite x^{2} u brojniku i nazivniku.

$$\frac{\frac{27}{125}xy^{6}}{\frac{9}{25}}$$

Podijelite \frac{27}{125}xy^{6} s \frac{9}{25} tako da pomnožite \frac{27}{125}xy^{6} s brojem recipročnim broju \frac{9}{25}.

$$\frac{\frac{27}{125}xy^{6}\times 25}{9}$$

Pomnožite \frac{27}{125} i 25 da biste dobili \frac{27}{5}.

$$\frac{\frac{27}{5}xy^{6}}{9}$$

Podijelite \frac{27}{5}xy^{6} s 9 da biste dobili \frac{3}{5}xy^{6}.

$$\frac{3}{5}xy^{6}$$

Proširi

$$\frac{3xy^{6}}{5}$$

Koraci rješenja

Proširivanje broja \left(\frac{3}{5}xy\right)^{2}.

$$\frac{\left(\frac{\left(\frac{3}{5}\right)^{2}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Izračunajte koliko je 2 na \frac{3}{5} da biste dobili \frac{9}{25}.

$$\frac{\left(\frac{\frac{9}{25}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Skratite x u brojniku i nazivniku.

$$\frac{\left(\frac{\frac{9}{25}xy^{2}}{\frac{3}{5}}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Podijelite \frac{9}{25}xy^{2} s \frac{3}{5} tako da pomnožite \frac{9}{25}xy^{2} s brojem recipročnim broju \frac{3}{5}.

$$\frac{\left(\frac{\frac{9}{25}xy^{2}\times 5}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Pomnožite \frac{9}{25} i 5 da biste dobili \frac{9}{5}.

$$\frac{\left(\frac{\frac{9}{5}xy^{2}}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Podijelite \frac{9}{5}xy^{2} s 3 da biste dobili \frac{3}{5}xy^{2}.

$$\frac{\left(\frac{3}{5}xy^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Proširivanje broja \left(\frac{3}{5}xy^{2}\right)^{3}.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}\left(y^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Da biste izračunali potenciju potencije, pomnožite eksponente. Pomnožite 2 i 3 da biste dobili 6.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Izračunajte koliko je 3 na \frac{3}{5} da biste dobili \frac{27}{125}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Proširivanje broja \left(\frac{3}{5}x\right)^{2}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}\right)^{2}x^{2}}$$

Izračunajte koliko je 2 na \frac{3}{5} da biste dobili \frac{9}{25}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\frac{9}{25}x^{2}}$$

Skratite x^{2} u brojniku i nazivniku.

$$\frac{\frac{27}{125}xy^{6}}{\frac{9}{25}}$$

Podijelite \frac{27}{125}xy^{6} s \frac{9}{25} tako da pomnožite \frac{27}{125}xy^{6} s brojem recipročnim broju \frac{9}{25}.

$$\frac{\frac{27}{125}xy^{6}\times 25}{9}$$

Pomnožite \frac{27}{125} i 25 da biste dobili \frac{27}{5}.

$$\frac{\frac{27}{5}xy^{6}}{9}$$

Podijelite \frac{27}{5}xy^{6} s 9 da biste dobili \frac{3}{5}xy^{6}.

$$\frac{3}{5}xy^{6}$$