Solve 1.48*10^23/(2.634*10^6)^2

$$\frac { 1.48 \cdot 10 ^ { 23 } } { ( 2.634 \cdot 10 ^ { 6 } ) ^ { 2 } }$$

Evaluate

$$\frac{37000000000000000}{1734489}\approx 21331931191.261518522$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{1.48\times 100000000000000000000000}{\left(2.634\times 10^{6}\right)^{2}}$$

Multiply 1.48 and 100000000000000000000000 to get 148000000000000000000000.

$$\frac{148000000000000000000000}{\left(2.634\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{148000000000000000000000}{\left(2.634\times 1000000\right)^{2}}$$

Multiply 2.634 and 1000000 to get 2634000.

$$\frac{148000000000000000000000}{2634000^{2}}$$

Calculate 2634000 to the power of 2 and get 6937956000000.

$$\frac{148000000000000000000000}{6937956000000}$$

Reduce the fraction \frac{148000000000000000000000}{6937956000000} to lowest terms by extracting and canceling out 4000000.

$$\frac{37000000000000000}{1734489}$$

Factor

$$\frac{37 \cdot 2 ^ {15} \cdot 5 ^ {15}}{3 ^ {2} \cdot 439 ^ {2}} = 21331931191\frac{453601}{1734489} = 21331931191.26152$$