1Cademy - Finding the Quotient $$\frac{30m^5n^{11}}{48m^{10}n^{14}}$$

Learn Before

Finding the Quotient $\frac{14x^7y^{12}}{21x^{11}y^6}$

Example

Finding the Quotient $\frac{30m^5n^{11}}{48m^{10}n^{14}}$

Divide two monomials in a single step by simultaneously simplifying the coefficient and subtracting the exponents for each variable: $\frac{30m^5n^{11}}{48m^{10}n^{14}}$ .

Simplify the coefficient and apply the Quotient Property. The coefficients $30$ and $48$ share the common factor $6$ : $\frac{30}{48} = \frac{5}{8}$ . For $m$ : since $10 > 5$ , the variable $m$ stays in the denominator with exponent $10 - 5 = 5$ . For $n$ : since $14 > 11$ , the variable $n$ stays in the denominator with exponent $14 - 11 = 3$ .