Evaluate and Perform Operations with Higher Roots
-$\sqrt [ 4 ] { ( - 3 ) ^ { 4 } }$
A) 3
B) $- 3$
C) 81
D) not a real number Simplify the radical expression.

Question

Quizplus · Accepted Answer

The expression $\sqrt[4]{(-3)^4}$ simplifies to $\sqrt[4]{81}$, which equals 3 because raising -3 to the 4th power results in 81, and the fourth root of 81 is 3. Negative numbers raised to even powers result in positive numbers, and the fourth root of a positive number is real.

Evaluate and Perform Operations with Higher Roots - (−3)44\sqrt [ 4 ] { ( - 3 ) ^ { 4 } }4(−3)4​

Evaluate and Perform Operations with Higher Roots
- $\sqrt [ 4 ] { ( - 3 ) ^ { 4 } }$