Solve 5v^3w/50v^3w

$$\frac { 5 v ^ { 3 } w } { 50 v ^ { 3 } w }$$

Evaluate

$$\frac{1}{10}=0.1$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{5^{1}v^{3}w^{1}}{50^{1}v^{3}w^{1}}$$

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

$$\frac{5^{1}}{50^{1}}v^{3-3}w^{1-1}$$

Subtract 3 from 3.

$$\frac{5^{1}}{50^{1}}v^{0}w^{1-1}$$

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

$$\frac{5^{1}}{50^{1}}w^{1-1}$$

Subtract 1 from 1.

$$\frac{5^{1}}{50^{1}}w^{0}$$

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

$$\frac{5^{1}}{50^{1}}$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$