Solve x11/15/xfrac{7{10}}

$$\frac{ x \frac{ 11 }{ 15 } }{ x \frac{ 7 }{ 10 } }$$

Evaluate

$$\frac{22}{21}\approx 1.047619048$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(\frac{11}{15}\right)^{1}x^{1}}{\left(\frac{7}{10}\right)^{1}x^{1}}$$

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

$$\frac{\left(\frac{11}{15}\right)^{1}x^{1-1}}{\left(\frac{7}{10}\right)^{1}}$$

Subtract 1 from 1.

$$\frac{\left(\frac{11}{15}\right)^{1}x^{0}}{\left(\frac{7}{10}\right)^{1}}$$

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

$$\frac{\left(\frac{11}{15}\right)^{1}}{\left(\frac{7}{10}\right)^{1}}$$

Divide \frac{11}{15} by \frac{7}{10} by multiplying \frac{11}{15} by the reciprocal of \frac{7}{10}.

$$\frac{22}{21}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 7} = 1\frac{1}{21} = 1.0476190476190477$$