Solve a=(6.6*10^-11)(6.6*10^24)/(1003.6*10^7)^2

$$a = \frac { ( 6.6 \times 10 ^ { - 11 } ) ( 6.6 \times 10 ^ { 24 } ) } { ( 1003.6 \times 10 ^ { 7 } ) ^ { 2 } }$$

Solve for a

$$a=\frac{1089}{251803240}\approx 0.000004325$$

Steps for Solving Linear Equation

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

$$a=\frac{6.6\times 10^{13}\times 6.6}{\left(1003.6\times 10^{7}\right)^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$a=\frac{6.6\times 10000000000000\times 6.6}{\left(1003.6\times 10^{7}\right)^{2}}$$

Multiply 6.6 and 10000000000000 to get 66000000000000.

$$a=\frac{66000000000000\times 6.6}{\left(1003.6\times 10^{7}\right)^{2}}$$

Multiply 66000000000000 and 6.6 to get 435600000000000.

$$a=\frac{435600000000000}{\left(1003.6\times 10^{7}\right)^{2}}$$

Calculate 10 to the power of 7 and get 10000000.

$$a=\frac{435600000000000}{\left(1003.6\times 10000000\right)^{2}}$$

Multiply 1003.6 and 10000000 to get 10036000000.

$$a=\frac{435600000000000}{10036000000^{2}}$$

Calculate 10036000000 to the power of 2 and get 100721296000000000000.

$$a=\frac{435600000000000}{100721296000000000000}$$

Reduce the fraction \frac{435600000000000}{100721296000000000000} to lowest terms by extracting and canceling out 400000000000.

$$a=\frac{1089}{251803240}$$

Assign a

$$a≔\frac{1089}{251803240}$$