Solve =6.673*10^-11*6*10^24/(6.4*10^6)^2N*kg

$$= \frac { 6.673 \times 10 ^ { - 11 } \times 6 \times 10 ^ { 24 } } { ( 6.4 \times 10 ^ { 6 } ) ^ { 2 } } N \cdot kg$$

Evaluate

$$\frac{20019Ngk}{2048}$$

Solution Steps

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

$$\frac{6.673\times 10^{13}\times 6}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{6.673\times 10000000000000\times 6}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Multiply 6.673 and 10000000000000 to get 66730000000000.

$$\frac{66730000000000\times 6}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Multiply 66730000000000 and 6 to get 400380000000000.

$$\frac{400380000000000}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{400380000000000}{\left(6.4\times 1000000\right)^{2}}Nkg$$

Multiply 6.4 and 1000000 to get 6400000.

$$\frac{400380000000000}{6400000^{2}}Nkg$$

Calculate 6400000 to the power of 2 and get 40960000000000.

$$\frac{400380000000000}{40960000000000}Nkg$$

Reduce the fraction \frac{400380000000000}{40960000000000} to lowest terms by extracting and canceling out 20000000000.

$$\frac{20019}{2048}Nkg$$

Expand

$$\frac{20019Ngk}{2048}$$

Solution Steps

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

$$\frac{6.673\times 10^{13}\times 6}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{6.673\times 10000000000000\times 6}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Multiply 6.673 and 10000000000000 to get 66730000000000.

$$\frac{66730000000000\times 6}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Multiply 66730000000000 and 6 to get 400380000000000.

$$\frac{400380000000000}{\left(6.4\times 10^{6}\right)^{2}}Nkg$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{400380000000000}{\left(6.4\times 1000000\right)^{2}}Nkg$$

Multiply 6.4 and 1000000 to get 6400000.

$$\frac{400380000000000}{6400000^{2}}Nkg$$

Calculate 6400000 to the power of 2 and get 40960000000000.

$$\frac{400380000000000}{40960000000000}Nkg$$

Reduce the fraction \frac{400380000000000}{40960000000000} to lowest terms by extracting and canceling out 20000000000.

$$\frac{20019}{2048}Nkg$$