Solve (76.521+62.421)10^-4415^2

$$(76.521+62.421) { 10 }^{ -4 } { 415 }^{ 2 }$$

Evaluate

$$2392.928595$$

Solution Steps

Add 76.521 and 62.421 to get 138.942.

$$138.942\times 10^{-4}\times 415^{2}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$138.942\times \frac{1}{10000}\times 415^{2}$$

Multiply 138.942 and \frac{1}{10000} to get \frac{69471}{5000000}.

$$\frac{69471}{5000000}\times 415^{2}$$

Calculate 415 to the power of 2 and get 172225.

$$\frac{69471}{5000000}\times 172225$$

Multiply \frac{69471}{5000000} and 172225 to get \frac{478585719}{200000}.

$$\frac{478585719}{200000}$$

Factor

$$\frac{31 \cdot 3 ^ {3} \cdot 83 ^ {3}}{2 ^ {6} \cdot 5 ^ {5}} = 2392\frac{185719}{200000} = 2392.928595$$