Решете 316*9*10^9left(16*10^-19right)^2/664*10^-27{left(5*{10^7right)}^-2}

$$\frac{ 316 \cdot 9 \times { 10 }^{ 9 } { \left(16 \times { 10 }^{ -19 } \right) }^{ 2 } }{ 664 \times { 10 }^{ -27 } { \left(5 \times { 10 }^{ 7 } \right) }^{ -2 } }$$

Процени

$$\frac{2275200000000000000}{83}\approx 2,741204819 \cdot 10^{16}$$

Чекори за решение

Скратете го 4 во броителот и именителот.

$$\frac{9\times 79\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{166\times 10^{-27}\times \left(5\times 10^{7}\right)^{-2}}$$

За да делите степени со иста основа, одземете го степеновиот показател на именителот од степеновиот показател на броителот.

$$\frac{9\times 79\times 10^{36}\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Помножете 9 и 79 за да добиете 711.

$$\frac{711\times 10^{36}\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Пресметајте колку е 10 на степен од 36 и добијте 1000000000000000000000000000000000000.

$$\frac{711\times 1000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Помножете 711 и 1000000000000000000000000000000000000 за да добиете 711000000000000000000000000000000000000.

$$\frac{711000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Пресметајте колку е 10 на степен од -19 и добијте \frac{1}{10000000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Помножете 16 и \frac{1}{10000000000000000000} за да добиете \frac{1}{625000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Пресметајте колку е \frac{1}{625000000000000000} на степен од 2 и добијте \frac{1}{390625000000000000000000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Помножете 711000000000000000000000000000000000000 и \frac{1}{390625000000000000000000000000000000} за да добиете \frac{45504}{25}.

$$\frac{\frac{45504}{25}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Пресметајте колку е 10 на степен од 7 и добијте 10000000.

$$\frac{\frac{45504}{25}}{166\times \left(5\times 10000000\right)^{-2}}$$

Помножете 5 и 10000000 за да добиете 50000000.

$$\frac{\frac{45504}{25}}{166\times 50000000^{-2}}$$

Пресметајте колку е 50000000 на степен од -2 и добијте \frac{1}{2500000000000000}.

$$\frac{\frac{45504}{25}}{166\times \frac{1}{2500000000000000}}$$

Помножете 166 и \frac{1}{2500000000000000} за да добиете \frac{83}{1250000000000000}.

$$\frac{\frac{45504}{25}}{\frac{83}{1250000000000000}}$$

Поделете го \frac{45504}{25} со \frac{83}{1250000000000000} со множење на \frac{45504}{25} со реципрочната вредност на \frac{83}{1250000000000000}.

$$\frac{45504}{25}\times \frac{1250000000000000}{83}$$

Помножете \frac{45504}{25} и \frac{1250000000000000}{83} за да добиете \frac{2275200000000000000}{83}.

$$\frac{2275200000000000000}{83}$$

Фактор

$$\frac{2 ^ {19} \cdot 3 ^ {2} \cdot 5 ^ {14} \cdot 79}{83} = 27412048192771084\frac{28}{83} = 27412048192771084$$