Write each of the following in radical form. Match each expression with the corresponding expression.
-$\sqrt [ 5 ] { x ^ { 4 } }$
A) $x ^ { \frac { 5 } { 4 } }$
B) $x ^ { \frac { 4 } { 5 } }$

Question

Write each of the following in radical form. Match each expression with the corresponding expression.
-$\sqrt [ 5 ] { x ^ { 4 } }$ 
A) $x ^ { \frac { 5 } { 4 } }$ 
B) $x ^ { \frac { 4 } { 5 } }$

Quizplus · Accepted Answer

The radical exponent tells us to take the fifth root of $x^4$, which is the same as raising $x$ to the power of $\frac{4}{5}$, so the answer is $x^{\frac{4}{5}}$. Option A has the exponent flipped, which would be the correct answer if the radical was $\sqrt[4]{x^5}$.

Write Each of the Following in Radical Form x45\sqrt [ 5 ] { x ^ { 4 } }5x4​

Write Each of the Following in Radical Form $\sqrt [ 5 ] { x ^ { 4 } }$