Rešite (-41/20)*(-125)=(-1/2)^3=(-10)*(-1/3)^5*(-01^2)

$$( - 4 \frac { 1 } { 20 } ) \times ( - 125 ) = ( - \frac { 1 } { 2 } ) ^ { 3 } = ( - 10 ) \times ( - \frac { 1 } { 3 } ) ^ { 5 } \times ( - 01 ^ { 2 } )$$

Preveri

Koraki rešitve

Pomnožite 4 in 20, da dobite 80.

$$\left(-\frac{80+1}{20}\right)\left(-125\right)=\left(-\frac{1}{2}\right)^{3}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Seštejte 80 in 1, da dobite 81.

$$-\frac{81}{20}\left(-125\right)=\left(-\frac{1}{2}\right)^{3}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Izrazite -\frac{81}{20}\left(-125\right) kot enojni ulomek.

$$\frac{-81\left(-125\right)}{20}=\left(-\frac{1}{2}\right)^{3}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Pomnožite -81 in -125, da dobite 10125.

$$\frac{10125}{20}=\left(-\frac{1}{2}\right)^{3}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Zmanjšajte ulomek \frac{10125}{20} na najmanjši imenovalec tako, da izpeljete in okrajšate 5.

$$\frac{2025}{4}=\left(-\frac{1}{2}\right)^{3}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

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

$$\frac{2025}{4}=-\frac{1}{8}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Najmanjši skupni mnogokratnik 4 in 8 je 8. Pretvorite \frac{2025}{4} in -\frac{1}{8} v ulomke z imenovalcem 8.

$$\frac{4050}{8}=-\frac{1}{8}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Primerjajte \frac{4050}{8} in -\frac{1}{8}.

$$\text{false}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

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

$$\text{false}\text{ and }-\frac{1}{8}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Izračunajte potenco -\frac{1}{3} števila 5, da dobite -\frac{1}{243}.

$$\text{false}\text{ and }-\frac{1}{8}=-10\left(-\frac{1}{243}\right)\times 0\times 1^{2}$$

Izrazite -10\left(-\frac{1}{243}\right) kot enojni ulomek.

$$\text{false}\text{ and }-\frac{1}{8}=\frac{-10\left(-1\right)}{243}\times 0\times 1^{2}$$

Pomnožite -10 in -1, da dobite 10.

$$\text{false}\text{ and }-\frac{1}{8}=\frac{10}{243}\times 0\times 1^{2}$$

Pomnožite \frac{10}{243} in 0, da dobite 0.

$$\text{false}\text{ and }-\frac{1}{8}=0\times 1^{2}$$

Izračunajte potenco 1 števila 2, da dobite 1.

$$\text{false}\text{ and }-\frac{1}{8}=0\times 1$$

Pomnožite 0 in 1, da dobite 0.

$$\text{false}\text{ and }-\frac{1}{8}=0$$

Primerjajte -\frac{1}{8} in 0.

$$\text{false}\text{ and }\text{false}$$

Konjunkcija vrednosti \text{false} in \text{false} je \text{false}.

$$\text{false}$$