Решете 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

Процени

$$\frac{2239414914709979136}{767409801483154296875}\approx 0,002918147$$

Чекори за решение

За да множите степени со иста основа, соберете ги нивните степенови показатели. Соберете ги -34 и 8 за да добиете -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Пресметајте колку е 10 на степен од -26 и добијте \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Помножете 663 и \frac{1}{100000000000000000000000000} за да добиете \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Помножете \frac{663}{100000000000000000000000000} и 3 за да добиете \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Пресметајте колку е 16 на степен од -19 и добијте \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

Помножете 515 и \frac{1}{75557863725914323419136} за да добиете \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

Поделете го \frac{1989}{100000000000000000000000000} со \frac{515}{75557863725914323419136} со множење на \frac{1989}{100000000000000000000000000} со реципрочната вредност на \frac{515}{75557863725914323419136}.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

Помножете \frac{1989}{100000000000000000000000000} и \frac{75557863725914323419136}{515} за да добиете \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

Фактор

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0,0029181473971037586$$