Divide the rational expressions. $$\frac { 2 y ^ { 7 } } { x ^ { 9 } } \div \frac { 8 y ^ { 2 } } { 3 x }$$
A) $\frac { 3 x ^ { 10 } } { 16 y ^ { 9 } }$
B) $\frac { 16 y ^ { 9 } } { 3 x ^ { 10 } }$
C) $\frac { 3 y ^ { 5 } } { 4 x ^ { 8 } }$
D) $\frac { 4 x ^ { 8 } } { 3 y ^ { 5 } }$

Question

Quizplus · Accepted Answer

To divide the rational expressions, multiply by the reciprocal: $\frac{2y^7}{x^9} \times \frac{3x}{8y^2} = \frac{2y^7 \cdot 3x}{x^9 \cdot 8y^2} = \frac{6xy^7}{8x^9y^2}$. Simplify by canceling common factors: $\frac{3y^5}{4x^8}$.

Divide the Rational Expressions 2y7x9÷8y23x\frac { 2 y ^ { 7 } } { x ^ { 9 } } \div \frac { 8 y ^ { 2 } } { 3 x }x92y7​÷3x8y2​

Divide the Rational Expressions $\frac { 2 y ^ { 7 } } { x ^ { 9 } } \div \frac { 8 y ^ { 2 } } { 3 x }$