Solve 2500w/80w

$$\frac { 2500 w } { 80 w }$$

Evaluate

$$\frac{125}{4}=31.25$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{2500^{1}w^{1}}{80^{1}w^{1}}$$

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

$$\frac{2500^{1}w^{1-1}}{80^{1}}$$

Subtract 1 from 1.

$$\frac{2500^{1}w^{0}}{80^{1}}$$

For any number a except 0, a^{0}=1.

$$\frac{2500^{1}}{80^{1}}$$

Reduce the fraction \frac{2500}{80} to lowest terms by extracting and canceling out 20.

$$\frac{125}{4}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25$$