Solve g=6.67*10^-11(3.2*10^24)*(2*10^23)/24,500,000^2

$$g = 6.67 * 10 ^ { - 11 } \frac { ( 3.2 * 10 ^ { 24 } ) * ( 2 * 10 ^ { 23 } ) } { 24,500,000 ^ { 2 } }$$

Solve for g

$$g=\frac{170752000000000000000000000}{2401}\approx 7.111703457 \cdot 10^{22}$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 24 and 23 to get 47.

$$g=6.67\times 10^{-11}\times \frac{3.2\times 10^{47}\times 2}{24500000^{2}}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$g=6.67\times \frac{1}{100000000000}\times \frac{3.2\times 10^{47}\times 2}{24500000^{2}}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$g=\frac{667}{10000000000000}\times \frac{3.2\times 10^{47}\times 2}{24500000^{2}}$$

Calculate 10 to the power of 47 and get 100000000000000000000000000000000000000000000000.

$$g=\frac{667}{10000000000000}\times \frac{3.2\times 100000000000000000000000000000000000000000000000\times 2}{24500000^{2}}$$

Multiply 3.2 and 100000000000000000000000000000000000000000000000 to get 320000000000000000000000000000000000000000000000.

$$g=\frac{667}{10000000000000}\times \frac{320000000000000000000000000000000000000000000000\times 2}{24500000^{2}}$$

Multiply 320000000000000000000000000000000000000000000000 and 2 to get 640000000000000000000000000000000000000000000000.

$$g=\frac{667}{10000000000000}\times \frac{640000000000000000000000000000000000000000000000}{24500000^{2}}$$

Calculate 24500000 to the power of 2 and get 600250000000000.

$$g=\frac{667}{10000000000000}\times \frac{640000000000000000000000000000000000000000000000}{600250000000000}$$

Reduce the fraction \frac{640000000000000000000000000000000000000000000000}{600250000000000} to lowest terms by extracting and canceling out 250000000000.

$$g=\frac{667}{10000000000000}\times \frac{2560000000000000000000000000000000000}{2401}$$

Multiply \frac{667}{10000000000000} and \frac{2560000000000000000000000000000000000}{2401} to get \frac{170752000000000000000000000}{2401}.

$$g=\frac{170752000000000000000000000}{2401}$$

Assign g

$$g≔\frac{170752000000000000000000000}{2401}$$