Simplify. Write the answer using positive exponents. $\frac { 4 x ^ { 2 } y ^ { 4 } } { 8 x ^ { 6 } y ^ { 3 } }$
A) $\frac { y } { 2 x ^ { 4 } }$
B) $\frac { 1 } { 2 x ^ { 4 } }$
C) $\frac { y } { 2 }$
D) $\frac { y } { x ^ { 4 } }$
E) $\frac { y } { 2 x }$

Question

Quizplus · Accepted Answer

To simplify the given expression, divide both the numerator and the denominator by their common terms. The 4 in the numerator can be divided by 8 in the denominator, resulting in 1/2. The $x^2$ in the numerator cancels out with part of the $x^6$ in the denominator, leaving $x^4$ in the denominator. The $y^4$ in the numerator cancels out with $y^3$ in the denominator, leaving a single $y$ in the numerator. Thus, the simplified expression is $\frac{y}{2x^4}$.

Simplify Write the Answer Using Positive Exponents 4x2y48x6y3\frac { 4 x ^ { 2 } y ^ { 4 } } { 8 x ^ { 6 } y ^ { 3 } }8x6y34x2y4​

Simplify Write the Answer Using Positive Exponents $\frac { 4 x ^ { 2 } y ^ { 4 } } { 8 x ^ { 6 } y ^ { 3 } }$