Solve (50,1*10^-4*3,5*10^-1/2,5*10^-1)

$$( \frac { 50,1 \times 10 ^ { - 4 } \times 3,5 \times 10 ^ { - 1 } } { 2,5 \times 10 ^ { - 1 } } )$$

Evaluate

$$0,007014$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -1 to get -5.

$$\frac{50,1\times 10^{-5}\times 3,5}{2,5\times 10^{-1}}$$

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

$$\frac{3,5\times 50,1}{2,5\times 10^{4}}$$

Multiply 3,5 and 50,1 to get 175,35.

$$\frac{175,35}{2,5\times 10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{175,35}{2,5\times 10000}$$

Multiply 2,5 and 10000 to get 25000.

$$\frac{175,35}{25000}$$

Expand \frac{175,35}{25000} by multiplying both numerator and the denominator by 100.

$$\frac{17535}{2500000}$$

Reduce the fraction \frac{17535}{2500000} to lowest terms by extracting and canceling out 5.

$$\frac{3507}{500000}$$

Factor

$$\frac{3 \cdot 7 \cdot 167}{2 ^ {5} \cdot 5 ^ {6}} = 0.007014$$