Solve 6.67*10^-1170*5*9.72*10^24/6786000^2

$$\frac{ 6.67 \times { 10 }^{ -11 } 70 \cdot 5 \cdot 9.72 \times { 10 }^{ 24 } }{ { 6786000 }^{ 2 } }$$

Evaluate

$$\frac{24150000}{4901}\approx 4927.565802897$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 24 to get 13.

$$\frac{6.67\times 10^{13}\times 70\times 5\times 9.72}{6786000^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{6.67\times 10000000000000\times 70\times 5\times 9.72}{6786000^{2}}$$

Multiply 6.67 and 10000000000000 to get 66700000000000.

$$\frac{66700000000000\times 70\times 5\times 9.72}{6786000^{2}}$$

Multiply 66700000000000 and 70 to get 4669000000000000.

$$\frac{4669000000000000\times 5\times 9.72}{6786000^{2}}$$

Multiply 4669000000000000 and 5 to get 23345000000000000.

$$\frac{23345000000000000\times 9.72}{6786000^{2}}$$

Multiply 23345000000000000 and 9.72 to get 226913400000000000.

$$\frac{226913400000000000}{6786000^{2}}$$

Calculate 6786000 to the power of 2 and get 46049796000000.

$$\frac{226913400000000000}{46049796000000}$$

Reduce the fraction \frac{226913400000000000}{46049796000000} to lowest terms by extracting and canceling out 9396000000.

$$\frac{24150000}{4901}$$

Factor

$$\frac{3 \cdot 7 \cdot 23 \cdot 2 ^ {4} \cdot 5 ^ {5}}{29 \cdot 13 ^ {2}} = 4927\frac{2773}{4901} = 4927.565802897368$$