Solve x/2divx/4

$$\frac{ x }{ 2 } \div \frac{ x }{ 4 }$$

Evaluate

$$2$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(\frac{1}{2}\right)^{1}x^{1}}{\left(\frac{1}{4}\right)^{1}x^{1}}$$

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

$$\frac{\left(\frac{1}{2}\right)^{1}x^{1-1}}{\left(\frac{1}{4}\right)^{1}}$$

Subtract 1 from 1.

$$\frac{\left(\frac{1}{2}\right)^{1}x^{0}}{\left(\frac{1}{4}\right)^{1}}$$

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

$$\frac{\left(\frac{1}{2}\right)^{1}}{\left(\frac{1}{4}\right)^{1}}$$

Divide \frac{1}{2} by \frac{1}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{1}{4}.

$$2$$

Factor

$$2$$