Use rational exponents to simplify. Assume that all variables represent positive real numbers.
-$$( \sqrt [ 8 ] { x y } ) ^ { 32 }$$
A) $x ^ { 4 } y$
B) $x y ^ { 4 }$
C) $\sqrt [ 8 ] { x y }$
D) $( x y ) ^ { 4 }$

Question

Quizplus · Accepted Answer

The expression can be simplified by converting the radical to a rational exponent: $(xy)^{\frac{1}{8}}$^{32} = (xy)^{\frac{32}{8}} = (xy)^4\).

Use Rational Exponents to Simplify (xy8)32( \sqrt [ 8 ] { x y } ) ^ { 32 }(8xy​)32

Use Rational Exponents to Simplify $( \sqrt [ 8 ] { x y } ) ^ { 32 }$