Rešite (frac{a^{2}}{3b})^3*(c/ab)^2*(b^3/ac)^2=

$$( \frac { a ^ { 2 } } { 3 b } ) ^ { 3 } \cdot ( \frac { c } { a b } ) ^ { 2 } \cdot ( \frac { b ^ { 3 } } { a c } ) ^ { 2 } =$$

Ovrednoti

$$\frac{ba^{2}}{27}$$

Koraki rešitve

Če želite dobiti potenco vrednosti \frac{a^{2}}{3b}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}}\times \left(\frac{c}{ab}\right)^{2}\times \left(\frac{b^{3}}{ac}\right)^{2}$$

Če želite dobiti potenco vrednosti \frac{c}{ab}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}}\times \frac{c^{2}}{\left(ab\right)^{2}}\times \left(\frac{b^{3}}{ac}\right)^{2}$$

Če želite dobiti potenco vrednosti \frac{b^{3}}{ac}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}}\times \frac{c^{2}}{\left(ab\right)^{2}}\times \frac{\left(b^{3}\right)^{2}}{\left(ac\right)^{2}}$$

Pomnožite \frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}} s/z \frac{c^{2}}{\left(ab\right)^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{\left(a^{2}\right)^{3}c^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}}\times \frac{\left(b^{3}\right)^{2}}{\left(ac\right)^{2}}$$

Pomnožite \frac{\left(a^{2}\right)^{3}c^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}} s/z \frac{\left(b^{3}\right)^{2}}{\left(ac\right)^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{\left(a^{2}\right)^{3}c^{2}\left(b^{3}\right)^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

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

$$\frac{a^{6}c^{2}\left(b^{3}\right)^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

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

$$\frac{a^{6}c^{2}b^{6}}{\left(3b\right)^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

Razčlenite \left(3b\right)^{3}.

$$\frac{a^{6}c^{2}b^{6}}{3^{3}b^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

Izračunajte potenco 3 števila 3, da dobite 27.

$$\frac{a^{6}c^{2}b^{6}}{27b^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

Razčlenite \left(ab\right)^{2}.

$$\frac{a^{6}c^{2}b^{6}}{27b^{3}a^{2}b^{2}\left(ac\right)^{2}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 3 in 2, da dobite 5.

$$\frac{a^{6}c^{2}b^{6}}{27b^{5}a^{2}\left(ac\right)^{2}}$$

Razčlenite \left(ac\right)^{2}.

$$\frac{a^{6}c^{2}b^{6}}{27b^{5}a^{2}a^{2}c^{2}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 2 in 2, da dobite 4.

$$\frac{a^{6}c^{2}b^{6}}{27b^{5}a^{4}c^{2}}$$

Okrajšaj c^{2}a^{4}b^{5} v števcu in imenovalcu.

$$\frac{ba^{2}}{27}$$

Razširi

$$\frac{ba^{2}}{27}$$

Koraki rešitve

Če želite dobiti potenco vrednosti \frac{a^{2}}{3b}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}}\times \left(\frac{c}{ab}\right)^{2}\times \left(\frac{b^{3}}{ac}\right)^{2}$$

Če želite dobiti potenco vrednosti \frac{c}{ab}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}}\times \frac{c^{2}}{\left(ab\right)^{2}}\times \left(\frac{b^{3}}{ac}\right)^{2}$$

Če želite dobiti potenco vrednosti \frac{b^{3}}{ac}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}}\times \frac{c^{2}}{\left(ab\right)^{2}}\times \frac{\left(b^{3}\right)^{2}}{\left(ac\right)^{2}}$$

Pomnožite \frac{\left(a^{2}\right)^{3}}{\left(3b\right)^{3}} s/z \frac{c^{2}}{\left(ab\right)^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{\left(a^{2}\right)^{3}c^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}}\times \frac{\left(b^{3}\right)^{2}}{\left(ac\right)^{2}}$$

Pomnožite \frac{\left(a^{2}\right)^{3}c^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}} s/z \frac{\left(b^{3}\right)^{2}}{\left(ac\right)^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{\left(a^{2}\right)^{3}c^{2}\left(b^{3}\right)^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

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

$$\frac{a^{6}c^{2}\left(b^{3}\right)^{2}}{\left(3b\right)^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

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

$$\frac{a^{6}c^{2}b^{6}}{\left(3b\right)^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

Razčlenite \left(3b\right)^{3}.

$$\frac{a^{6}c^{2}b^{6}}{3^{3}b^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

Izračunajte potenco 3 števila 3, da dobite 27.

$$\frac{a^{6}c^{2}b^{6}}{27b^{3}\left(ab\right)^{2}\left(ac\right)^{2}}$$

Razčlenite \left(ab\right)^{2}.

$$\frac{a^{6}c^{2}b^{6}}{27b^{3}a^{2}b^{2}\left(ac\right)^{2}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 3 in 2, da dobite 5.

$$\frac{a^{6}c^{2}b^{6}}{27b^{5}a^{2}\left(ac\right)^{2}}$$

Razčlenite \left(ac\right)^{2}.

$$\frac{a^{6}c^{2}b^{6}}{27b^{5}a^{2}a^{2}c^{2}}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 2 in 2, da dobite 4.

$$\frac{a^{6}c^{2}b^{6}}{27b^{5}a^{4}c^{2}}$$

Okrajšaj c^{2}a^{4}b^{5} v števcu in imenovalcu.

$$\frac{ba^{2}}{27}$$