Solve =3.2*10^-2*(0.5853)/0.3*10^-3

$$= \frac { 3.2 \times 10 ^ { - 2 } \times ( 0.5853 ) } { 0.3 \times 10 ^ { - 3 } }$$

Evaluate

$$62.432$$

Solution Steps

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

$$\frac{0.5853\times 3.2\times 10^{1}}{0.3}$$

Multiply 0.5853 and 3.2 to get 1.87296.

$$\frac{1.87296\times 10^{1}}{0.3}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{1.87296\times 10}{0.3}$$

Multiply 1.87296 and 10 to get 18.7296.

$$\frac{18.7296}{0.3}$$

Expand \frac{18.7296}{0.3} by multiplying both numerator and the denominator by 10000.

$$\frac{187296}{3000}$$

Reduce the fraction \frac{187296}{3000} to lowest terms by extracting and canceling out 24.

$$\frac{7804}{125}$$

Factor

$$\frac{1951 \cdot 2 ^ {2}}{5 ^ {3}} = 62\frac{54}{125} = 62.432$$