Simplify the expression. Express final result without using zero or negative integers as exponents. $$\left( \frac { x ^ { - 1 } } { y ^ { - 4 } } \right) ^ { - 3 }$$
A) $\frac { x ^ { 3 } } { y ^ { 12 } }$
B) $\frac { y ^ { 7 } } { x ^ { 4 } }$
C) $\frac { x ^ { 4 } } { y ^ { 12 } }$
D) $\frac { y ^ { 12 } } { x ^ { 3 } }$
E) $\frac { x ^ { 4 } } { y ^ { 7 } }$

Question

Quizplus · Accepted Answer

When you raise a power to a power, you multiply the exponents. Here, $\left( x^{-1} / y^{-4} \right)^{-3}$ becomes $x^{(-1)(-3)} / y^{(-4)(-3)}$, simplifying to $x^3 / y^{12}$.

Simplify the Expression (x−1y−4)−3\left( \frac { x ^ { - 1 } } { y ^ { - 4 } } \right) ^ { - 3 }(y−4x−1​)−3

Simplify the Expression $\left( \frac { x ^ { - 1 } } { y ^ { - 4 } } \right) ^ { - 3 }$