Simplify the radical expression. $\sqrt [ 4 ] { 243 n ^ { 19 } t ^ { - 20 } }$
A) $\frac { 3 n \sqrt [ 4 ] { 3 n ^ { 15 } } } { t \sqrt { t ^ { 16 } } }$
B) $\frac { 3 n ^ { 4 } \sqrt [ 4 ] { 3 n ^ { 3 } } } { t ^ { 5 } }$
C) $\frac { 3 n \sqrt [ 4 ] { 3 n ^ { 3 } } } { t }$
D) $\frac { 81 n ^ { 16 } \sqrt [ 4 ] { 3 n ^ { 3 } } } { t ^ { 20 } }$
E) $\frac { 81 n \sqrt [ 4 ] { 3 n ^ { 15 } } } { t \sqrt { t ^ { 16 } } }$

Question

Quizplus · Accepted Answer

The expression $\sqrt[4]{243 n^{19} t^{-20}}$ simplifies to $\frac{3 n^4 \sqrt[4]{3 n^3}}{t^5}$ by taking the fourth root of each factor separately.

Simplify the Radical Expression 243n19t−204\sqrt [ 4 ] { 243 n ^ { 19 } t ^ { - 20 } }4243n19t−20​

Simplify the Radical Expression $\sqrt [ 4 ] { 243 n ^ { 19 } t ^ { - 20 } }$