Solve 6,67*10^-4*5,603*10^26kg/(58232000)^2

$$\frac { 6,67 \times 10 ^ { - 4 } \cdot 5,603 \times 10 ^ { 26 } kg } { ( 58232000 ) ^ { 2 } }$$

Evaluate

$$\frac{201357812500000gk}{1827029}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and 26 to get 22.

$$\frac{6,67\times 10^{22}\times 5,603kg}{58232000^{2}}$$

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$\frac{6,67\times 10000000000000000000000\times 5,603kg}{58232000^{2}}$$

Multiply 6,67 and 10000000000000000000000 to get 66700000000000000000000.

$$\frac{66700000000000000000000\times 5,603kg}{58232000^{2}}$$

Multiply 66700000000000000000000 and 5,603 to get 373720100000000000000000.

$$\frac{373720100000000000000000kg}{58232000^{2}}$$

Calculate 58232000 to the power of 2 and get 3390965824000000.

$$\frac{373720100000000000000000kg}{3390965824000000}$$

Divide 373720100000000000000000kg by 3390965824000000 to get \frac{201357812500000}{1827029}kg.

$$\frac{201357812500000}{1827029}kg$$

Differentiate w.r.t. k

$$\frac{201357812500000g}{1827029}$$