Solve 3.14159*2.98left(0.2310^-3right)^2/4*1610^-2

$$\frac{ 3.14159 \times 2.98 { \left(0.23 { 10 }^{ -3 } \right) }^{ 2 } }{ 4 \cdot 16 { 10 }^{ -2 } }$$

Evaluate

$$0.00000077382270434375$$

Solution Steps

Multiply 3.14159 and 2.98 to get 9.3619382.

$$\frac{9.3619382\times \left(0.23\times 10^{-3}\right)^{2}}{4\times 16\times 10^{-2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{9.3619382\times \left(0.23\times \frac{1}{1000}\right)^{2}}{4\times 16\times 10^{-2}}$$

Multiply 0.23 and \frac{1}{1000} to get \frac{23}{100000}.

$$\frac{9.3619382\times \left(\frac{23}{100000}\right)^{2}}{4\times 16\times 10^{-2}}$$

Calculate \frac{23}{100000} to the power of 2 and get \frac{529}{10000000000}.

$$\frac{9.3619382\times \frac{529}{10000000000}}{4\times 16\times 10^{-2}}$$

Multiply 9.3619382 and \frac{529}{10000000000} to get \frac{24762326539}{50000000000000000}.

$$\frac{\frac{24762326539}{50000000000000000}}{4\times 16\times 10^{-2}}$$

Multiply 4 and 16 to get 64.

$$\frac{\frac{24762326539}{50000000000000000}}{64\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\frac{24762326539}{50000000000000000}}{64\times \frac{1}{100}}$$

Multiply 64 and \frac{1}{100} to get \frac{16}{25}.

$$\frac{\frac{24762326539}{50000000000000000}}{\frac{16}{25}}$$

Divide \frac{24762326539}{50000000000000000} by \frac{16}{25} by multiplying \frac{24762326539}{50000000000000000} by the reciprocal of \frac{16}{25}.

$$\frac{24762326539}{50000000000000000}\times \frac{25}{16}$$

Multiply \frac{24762326539}{50000000000000000} and \frac{25}{16} to get \frac{24762326539}{32000000000000000}.

$$\frac{24762326539}{32000000000000000}$$

Factor

$$\frac{149 \cdot 314159 \cdot 23 ^ {2}}{2 ^ {20} \cdot 5 ^ {15}} = 7.7382270434375 \times 10^{-7}$$