Solve 3,5/1,4*10^3/10^8

$$\frac { 3,5 } { 1,4 } \times \frac { 10 ^ { 3 } } { 10 ^ { 8 } }$$

Evaluate

$$0,000025$$

Solution Steps

Rewrite 10^{8} as 10^{3}\times 10^{5}. Cancel out 10^{3} in both numerator and denominator.

$$\frac{3,5}{1,4}\times \frac{1}{10^{5}}$$

Expand \frac{3,5}{1,4} by multiplying both numerator and the denominator by 10.

$$\frac{35}{14}\times \frac{1}{10^{5}}$$

Reduce the fraction \frac{35}{14} to lowest terms by extracting and canceling out 7.

$$\frac{5}{2}\times \frac{1}{10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{5}{2}\times \frac{1}{100000}$$

Multiply \frac{5}{2} times \frac{1}{100000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{2\times 100000}$$

Do the multiplications in the fraction \frac{5\times 1}{2\times 100000}.

$$\frac{5}{200000}$$

Reduce the fraction \frac{5}{200000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{40000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {4}} = 2.5 \times 10^{-5}$$