Solve 48000*48000^2*6.39^2/19600*19600^2

$$\frac{ 48000 \times { 48000 }^{ 2 } \times { 6.39 }^{ 2 } }{ 19600 \times { 19600 }^{ 2 } }$$

Evaluate

$$\frac{352789344}{588245}\approx 599.731989222$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{48000^{3}\times 6.39^{2}}{19600\times 19600^{2}}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{48000^{3}\times 6.39^{2}}{19600^{3}}$$

Calculate 48000 to the power of 3 and get 110592000000000.

$$\frac{110592000000000\times 6.39^{2}}{19600^{3}}$$

Calculate 6.39 to the power of 2 and get 40.8321.

$$\frac{110592000000000\times 40.8321}{19600^{3}}$$

Multiply 110592000000000 and 40.8321 to get 4515703603200000.

$$\frac{4515703603200000}{19600^{3}}$$

Calculate 19600 to the power of 3 and get 7529536000000.

$$\frac{4515703603200000}{7529536000000}$$

Reduce the fraction \frac{4515703603200000}{7529536000000} to lowest terms by extracting and canceling out 12800000.

$$\frac{352789344}{588245}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {7} \cdot 71 ^ {2}}{5 \cdot 7 ^ {6}} = 599\frac{430589}{588245} = 599.7319892221778$$