Solve 130*10^6*(65*10^-3)^2/4*314

$$130 \times 10 ^ { 6 } \times \frac { ( 65 \times 10 ^ { - 3 } ) ^ { 2 } } { 4 } \times 314$$

Evaluate

$$43116125$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$130\times 1000000\times \frac{\left(65\times 10^{-3}\right)^{2}}{4}\times 314$$

Multiply 130 and 1000000 to get 130000000.

$$130000000\times \frac{\left(65\times 10^{-3}\right)^{2}}{4}\times 314$$

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

$$130000000\times \frac{\left(65\times \frac{1}{1000}\right)^{2}}{4}\times 314$$

Multiply 65 and \frac{1}{1000} to get \frac{13}{200}.

$$130000000\times \frac{\left(\frac{13}{200}\right)^{2}}{4}\times 314$$

Calculate \frac{13}{200} to the power of 2 and get \frac{169}{40000}.

$$130000000\times \frac{\frac{169}{40000}}{4}\times 314$$

Express \frac{\frac{169}{40000}}{4} as a single fraction.

$$130000000\times \frac{169}{40000\times 4}\times 314$$

Multiply 40000 and 4 to get 160000.

$$130000000\times \frac{169}{160000}\times 314$$

Multiply 130000000 and \frac{169}{160000} to get \frac{274625}{2}.

$$\frac{274625}{2}\times 314$$

Multiply \frac{274625}{2} and 314 to get 43116125.

$$43116125$$

Factor

$$5^{3}\times 13^{3}\times 157$$