Solve 2/3x/frac{4{28}x}

$$\frac { \frac { 2 } { 3 } x } { \frac { 4 } { 28 } x }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(\frac{2}{3}\right)^{1}x^{1}}{\left(\frac{1}{7}\right)^{1}x^{1}}$$

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

$$\frac{\left(\frac{2}{3}\right)^{1}x^{1-1}}{\left(\frac{1}{7}\right)^{1}}$$

Subtract 1 from 1.

$$\frac{\left(\frac{2}{3}\right)^{1}x^{0}}{\left(\frac{1}{7}\right)^{1}}$$

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

$$\frac{\left(\frac{2}{3}\right)^{1}}{\left(\frac{1}{7}\right)^{1}}$$

Divide \frac{2}{3} by \frac{1}{7} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{7}.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$