Use the rules of exponents to simplify the expression below. $\frac { x ^ { 4 n } y ^ { 3 xn - 1 } } { x ^ { n } y ^ { n - 4 } }$
A) $x ^ { 3 } y ^ { 2 }$
B) $x ^ { 3 } y ^ { 2 n + 3 }$
C) $x ^ { 3 n } y ^ { 2 n + 3 }$
D) $x ^ { 2 } y ^ { 2 n + 3 }$
E) $x ^ { 2 n } y ^ { 2 n + 3 }$

Question

Quizplus · Accepted Answer

To simplify the given expression, we can use the rules of exponents which state that when dividing exponential expressions with the same base, we can subtract their exponents. 
Thus, we get: 
$$\frac{x^{4n}y^{3xn-1}}{x^n y^{n-4}}= x^{4n-n} y^{3xn-1-(n-4)}=x^{3n} y^{2n+3}$$
Hence, the answer is choice letter C.

Use the Rules of Exponents to Simplify the Expression Below x4ny3xn−1xnyn−4\frac { x ^ { 4 n } y ^ { 3 xn - 1 } } { x ^ { n } y ^ { n - 4 } }xnyn−4x4ny3xn−1​

Use the Rules of Exponents to Simplify the Expression Below $\frac { x ^ { 4 n } y ^ { 3 xn - 1 } } { x ^ { n } y ^ { n - 4 } }$