Solve 384*136500*05*05/((005^2*136499)+(0000625)

$$\frac{ 384 \times 136500 \times 05 \times 05 }{ (( { 005 }^{ 2 } \times 136499)+(0000625) }$$

Evaluate

$$\frac{4368000}{11377}\approx 383.932495385$$

Solution Steps

Multiply 384 and 136500 to get 52416000.

$$\frac{52416000\times 5\times 5}{5^{2}\times 136499+625}$$

Multiply 52416000 and 5 to get 262080000.

$$\frac{262080000\times 5}{5^{2}\times 136499+625}$$

Multiply 262080000 and 5 to get 1310400000.

$$\frac{1310400000}{5^{2}\times 136499+625}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{1310400000}{25\times 136499+625}$$

Multiply 25 and 136499 to get 3412475.

$$\frac{1310400000}{3412475+625}$$

Add 3412475 and 625 to get 3413100.

$$\frac{1310400000}{3413100}$$

Reduce the fraction \frac{1310400000}{3413100} to lowest terms by extracting and canceling out 300.

$$\frac{4368000}{11377}$$

Factor

$$\frac{2 ^ {7} \cdot 3 \cdot 5 ^ {3} \cdot 7 \cdot 13}{31 \cdot 367} = 383\frac{10609}{11377} = 383.93249538542676$$