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

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

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Koraci rješenja

Pomnožite 4 i 20 da biste dobili 80.

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

Dodajte 80 broju 1 da biste dobili 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) kao jedan razlomak.

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

Pomnožite -81 i -125 da biste dobili 10125.

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

Skratite razlomak \frac{10125}{20} na najmanje vrijednosti tako da izlučite i poništite 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 koliko je 3 na -\frac{1}{2} da biste dobili -\frac{1}{8}.

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

Najmanji zajednički višekratnik brojeva 4 i 8 je 8. Pretvorite \frac{2025}{4} i -\frac{1}{8} u razlomak s nazivnikom 8.

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

Usporedite \frac{4050}{8} i -\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 koliko je 3 na -\frac{1}{2} da biste dobili -\frac{1}{8}.

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

Izračunajte koliko je 5 na -\frac{1}{3} da biste dobili -\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) kao jedan razlomak.

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

Pomnožite -10 i -1 da biste dobili 10.

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

Pomnožite \frac{10}{243} i 0 da biste dobili 0.

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

Izračunajte koliko je 2 na 1 da biste dobili 1.

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

Pomnožite 0 i 1 da biste dobili 0.

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

Usporedite -\frac{1}{8} i 0.

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

Konjunkcija brojeva \text{false} i \text{false} je \text{false}.

$$\text{false}$$