Solve a=(6.6*10^-11)(6.6*10^24)/(7.4*10^6)^2

$$a = \frac { ( 6.6 \times 10 ^ { - 11 } ) ( 6.6 \times 10 ^ { 24 } ) } { ( 7.4 \times 10 ^ { 6 } ) ^ { 2 } }$$

Solve for a

$$a = \frac{10890}{1369} = 7\frac{1307}{1369} \approx 7.954711468$$

Steps for Solving Linear Equation

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

$$a=\frac{6.6\times 10^{13}\times 6.6}{\left(7.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$a=\frac{6.6\times 10000000000000\times 6.6}{\left(7.4\times 10^{6}\right)^{2}}$$

Multiply 6.6 and 10000000000000 to get 66000000000000.

$$a=\frac{66000000000000\times 6.6}{\left(7.4\times 10^{6}\right)^{2}}$$

Multiply 66000000000000 and 6.6 to get 435600000000000.

$$a=\frac{435600000000000}{\left(7.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$a=\frac{435600000000000}{\left(7.4\times 1000000\right)^{2}}$$

Multiply 7.4 and 1000000 to get 7400000.

$$a=\frac{435600000000000}{7400000^{2}}$$

Calculate 7400000 to the power of 2 and get 54760000000000.

$$a=\frac{435600000000000}{54760000000000}$$

Reduce the fraction \frac{435600000000000}{54760000000000} to lowest terms by extracting and canceling out 40000000000.

$$a=\frac{10890}{1369}$$

Assign a

$$a≔\frac{10890}{1369}$$