Use rational exponents to simplify the radical. Assume that all variables represent positive real numbers.
-$( \sqrt [ 4 ] { x y } ) ^ { 8 }$
A) $( x y ) ^ { 2 }$
B) $\sqrt [ 4 ] { x y }$
C) $x y ^ { 2 }$
D) $x ^ { 2 } y$

Question

Quizplus · Accepted Answer

Using the rule $(a^{m/n})^p = a^{(m/n)p}$, we simplify $(\sqrt[4]{xy})^8$ to $(xy)^{(1/4)*8} = (xy)^2$.

Use Rational Exponents to Simplify the Radical (xy4)8( \sqrt [ 4 ] { x y } ) ^ { 8 }(4xy​)8

Use Rational Exponents to Simplify the Radical $( \sqrt [ 4 ] { x y } ) ^ { 8 }$