Rešite =(frac{a*b^{2}}{c^{2}*d^{3}})^{4}*(c^6*d^4/a*b^2)^2

$$= ( \frac { a \cdot b ^ { 2 } } { c ^ { 2 } \cdot d ^ { 3 } } ) ^ { 4 } \times ( \frac { c ^ { 6 } \cdot d ^ { 4 } } { a \cdot b ^ { 2 } } ) ^ { 2 }$$

Ovrednoti

$$a^{2}\times \left(\frac{bc}{d}\right)^{4}$$

Koraki rešitve

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

$$\frac{\left(ab^{2}\right)^{4}}{\left(c^{2}d^{3}\right)^{4}}\times \left(\frac{c^{6}d^{4}}{ab^{2}}\right)^{2}$$

Če želite dobiti potenco vrednosti \frac{c^{6}d^{4}}{ab^{2}}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(ab^{2}\right)^{4}}{\left(c^{2}d^{3}\right)^{4}}\times \frac{\left(c^{6}d^{4}\right)^{2}}{\left(ab^{2}\right)^{2}}$$

Pomnožite \frac{\left(ab^{2}\right)^{4}}{\left(c^{2}d^{3}\right)^{4}} s/z \frac{\left(c^{6}d^{4}\right)^{2}}{\left(ab^{2}\right)^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{\left(ab^{2}\right)^{4}\left(c^{6}d^{4}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}\left(ab^{2}\right)^{2}}$$

Okrajšaj \left(ab^{2}\right)^{2} v števcu in imenovalcu.

$$\frac{\left(ab^{2}\right)^{2}\left(d^{4}c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Razčlenite \left(ab^{2}\right)^{2}.

$$\frac{a^{2}\left(b^{2}\right)^{2}\left(d^{4}c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 2, da dobite 4.

$$\frac{a^{2}b^{4}\left(d^{4}c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Razčlenite \left(d^{4}c^{6}\right)^{2}.

$$\frac{a^{2}b^{4}\left(d^{4}\right)^{2}\left(c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 4 in 2, da dobite 8.

$$\frac{a^{2}b^{4}d^{8}\left(c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

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

$$\frac{a^{2}b^{4}d^{8}c^{12}}{\left(c^{2}d^{3}\right)^{4}}$$

Razčlenite \left(c^{2}d^{3}\right)^{4}.

$$\frac{a^{2}b^{4}d^{8}c^{12}}{\left(c^{2}\right)^{4}\left(d^{3}\right)^{4}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 4, da dobite 8.

$$\frac{a^{2}b^{4}d^{8}c^{12}}{c^{8}\left(d^{3}\right)^{4}}$$

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

$$\frac{a^{2}b^{4}d^{8}c^{12}}{c^{8}d^{12}}$$

Okrajšaj c^{8}d^{8} v števcu in imenovalcu.

$$\frac{a^{2}b^{4}c^{4}}{d^{4}}$$

Razširi

$$a^{2}\times \left(\frac{bc}{d}\right)^{4}$$

Koraki rešitve

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

$$\frac{\left(ab^{2}\right)^{4}}{\left(c^{2}d^{3}\right)^{4}}\times \left(\frac{c^{6}d^{4}}{ab^{2}}\right)^{2}$$

Če želite dobiti potenco vrednosti \frac{c^{6}d^{4}}{ab^{2}}, potencirajte števec in imenovalec, nato pa delite.

$$\frac{\left(ab^{2}\right)^{4}}{\left(c^{2}d^{3}\right)^{4}}\times \frac{\left(c^{6}d^{4}\right)^{2}}{\left(ab^{2}\right)^{2}}$$

Pomnožite \frac{\left(ab^{2}\right)^{4}}{\left(c^{2}d^{3}\right)^{4}} s/z \frac{\left(c^{6}d^{4}\right)^{2}}{\left(ab^{2}\right)^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{\left(ab^{2}\right)^{4}\left(c^{6}d^{4}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}\left(ab^{2}\right)^{2}}$$

Okrajšaj \left(ab^{2}\right)^{2} v števcu in imenovalcu.

$$\frac{\left(ab^{2}\right)^{2}\left(d^{4}c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Razčlenite \left(ab^{2}\right)^{2}.

$$\frac{a^{2}\left(b^{2}\right)^{2}\left(d^{4}c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 2, da dobite 4.

$$\frac{a^{2}b^{4}\left(d^{4}c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Razčlenite \left(d^{4}c^{6}\right)^{2}.

$$\frac{a^{2}b^{4}\left(d^{4}\right)^{2}\left(c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 4 in 2, da dobite 8.

$$\frac{a^{2}b^{4}d^{8}\left(c^{6}\right)^{2}}{\left(c^{2}d^{3}\right)^{4}}$$

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

$$\frac{a^{2}b^{4}d^{8}c^{12}}{\left(c^{2}d^{3}\right)^{4}}$$

Razčlenite \left(c^{2}d^{3}\right)^{4}.

$$\frac{a^{2}b^{4}d^{8}c^{12}}{\left(c^{2}\right)^{4}\left(d^{3}\right)^{4}}$$

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 4, da dobite 8.

$$\frac{a^{2}b^{4}d^{8}c^{12}}{c^{8}\left(d^{3}\right)^{4}}$$

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

$$\frac{a^{2}b^{4}d^{8}c^{12}}{c^{8}d^{12}}$$

Okrajšaj c^{8}d^{8} v števcu in imenovalcu.

$$\frac{a^{2}b^{4}c^{4}}{d^{4}}$$