Solve 90x/20x

$$\frac { 90 x } { 20 x }$$

Evaluate

$$\frac{9}{2}=4.5$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{90^{1}x^{1}}{20^{1}x^{1}}$$

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

$$\frac{90^{1}x^{1-1}}{20^{1}}$$

Subtract 1 from 1.

$$\frac{90^{1}x^{0}}{20^{1}}$$

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

$$\frac{90^{1}}{20^{1}}$$

Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$