Simplify.
-$$- 3 \left( x ^ { - 3 } y ^ { - 1 } \right) ^ { - 4 }$$
A) $\frac { x ^ { 12 } y ^ { 4 } } { ( - 3 ) ^ { 4 } }$
B) $\frac { - 3 } { x ^ { 12 } y ^ { 4 } }$
C) $- 3 x ^ { 12 } y ^ { 4 }$
D) $( - 3 ) ^ { 4 } x ^ { 12 } y ^ { 4 }$

Question

Quizplus · Accepted Answer

When simplifying the expression, the negative exponent outside the parentheses indicates that the expression inside the parentheses should be raised to the power of -4, which inverts the base and changes the sign of the exponent. Thus, $(-3)(x^{-3}y^{-1})^{-4}$ simplifies to $-3x^{12}y^4$, as each exponent inside the parentheses is multiplied by -4, and the coefficient -3 remains outside.

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

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