Solve (10)^2*(62.5/1000)

$$( 10 ) ^ { 2 } \times ( \frac { 62.5 } { 1000 } )$$

Evaluate

$$6.25$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$100\times \frac{62.5}{1000}$$

Expand \frac{62.5}{1000} by multiplying both numerator and the denominator by 10.

$$100\times \frac{625}{10000}$$

Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$100\times \frac{1}{16}$$

Multiply 100 and \frac{1}{16} to get \frac{100}{16}.

$$\frac{100}{16}$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$