Solve 8.987610^92510^-9/6.410^-3

$$8.9876 { 10 }^{ 9 } \frac{ 25 { 10 }^{ -9 } }{ 6.4 { 10 }^{ -3 } }$$

Evaluate

$$35107.8125$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$8.9876\times 1000000000\times \frac{25\times 10^{-9}}{6.4\times 10^{-3}}$$

Multiply 8.9876 and 1000000000 to get 8987600000.

$$8987600000\times \frac{25\times 10^{-9}}{6.4\times 10^{-3}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$8987600000\times \frac{25}{6.4\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$8987600000\times \frac{25}{6.4\times 1000000}$$

Multiply 6.4 and 1000000 to get 6400000.

$$8987600000\times \frac{25}{6400000}$$

Reduce the fraction \frac{25}{6400000} to lowest terms by extracting and canceling out 25.

$$8987600000\times \frac{1}{256000}$$

Multiply 8987600000 and \frac{1}{256000} to get \frac{561725}{16}.

$$\frac{561725}{16}$$

Factor

$$\frac{22469 \cdot 5 ^ {2}}{2 ^ {4}} = 35107\frac{13}{16} = 35107.8125$$