Solve (6.02*10^23*1.6*10^-19)^2/1000000*9*10^9

$$\frac { ( 6.02 \times 10 ^ { 23 } \times 1.6 \times 10 ^ { - 19 } ) ^ { 2 } } { 1000000 } \times 9 \times 10 ^ { 9 }$$

Evaluate

$$83497881600000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 23 and -19 to get 4.

$$\frac{\left(6.02\times 10^{4}\times 1.6\right)^{2}}{1000000}\times 9\times 10^{9}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{\left(6.02\times 10000\times 1.6\right)^{2}}{1000000}\times 9\times 10^{9}$$

Multiply 6.02 and 10000 to get 60200.

$$\frac{\left(60200\times 1.6\right)^{2}}{1000000}\times 9\times 10^{9}$$

Multiply 60200 and 1.6 to get 96320.

$$\frac{96320^{2}}{1000000}\times 9\times 10^{9}$$

Calculate 96320 to the power of 2 and get 9277542400.

$$\frac{9277542400}{1000000}\times 9\times 10^{9}$$

Reduce the fraction \frac{9277542400}{1000000} to lowest terms by extracting and canceling out 1600.

$$\frac{5798464}{625}\times 9\times 10^{9}$$

Multiply \frac{5798464}{625} and 9 to get \frac{52186176}{625}.

$$\frac{52186176}{625}\times 10^{9}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{52186176}{625}\times 1000000000$$

Multiply \frac{52186176}{625} and 1000000000 to get 83497881600000.

$$83497881600000$$

Factor

$$2^{15}\times 3^{2}\times 5^{5}\times 7^{2}\times 43^{2}$$