Solve (2.5*10^-4)(3.568*10^15)/4.17.10^-13

$$\frac { ( 2.5 \times 10 ^ { - 4 } ) ( 3.568 \times 10 ^ { 15 } ) } { 4.17 .10 ^ { - 13 } }$$

Evaluate

$$\frac{223}{10425}\approx 0.021390887$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and 15 to get 11.

$$\frac{2.5\times 10^{11}\times 3.568}{4.17\times 0.1^{-13}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{2.5\times 100000000000\times 3.568}{4.17\times 0.1^{-13}}$$

Multiply 2.5 and 100000000000 to get 250000000000.

$$\frac{250000000000\times 3.568}{4.17\times 0.1^{-13}}$$

Multiply 250000000000 and 3.568 to get 892000000000.

$$\frac{892000000000}{4.17\times 0.1^{-13}}$$

Calculate 0.1 to the power of -13 and get 10000000000000.

$$\frac{892000000000}{4.17\times 10000000000000}$$

Multiply 4.17 and 10000000000000 to get 41700000000000.

$$\frac{892000000000}{41700000000000}$$

Reduce the fraction \frac{892000000000}{41700000000000} to lowest terms by extracting and canceling out 4000000000.

$$\frac{223}{10425}$$

Factor

$$\frac{223}{3 \cdot 139 \cdot 5 ^ {2}} = 0.021390887290167866$$