Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
-$\left( \frac { 1 } { 16 } \right) ^ { 1 / 4 }$
A) $- \frac { 1 } { 2 }$
B) 2
C) $- 2$
D) $\frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The expression $\left( \frac { 1 } { 16 } \right) ^ { 1 / 4 }$ simplifies to $\left( 16 \right) ^ { -1 / 4 }$, which is the same as $\left( 2^4 \right) ^ { -1 / 4 }$ because 16 is $2^4$. Simplifying further gives $2^{4 \times -1 / 4} = 2^{-1} = \frac { 1 } { 2 }$.

Simplify the Exponential Expression (116)1/4\left( \frac { 1 } { 16 } \right) ^ { 1 / 4 }(161​)1/4

Simplify the Exponential Expression $\left( \frac { 1 } { 16 } \right) ^ { 1 / 4 }$