Mathematics

Problem

Without calculating exact values, decide which of the two expressions is greater:

6^{\frac{3}{4}}\times36^{\frac{1}{4}}

216^{\frac{1}{2}}

. a)

6^{\frac{3}{4}}\times36^{\frac{1}{4}}

is greater b)

216^{\frac{1}{2}}

is greater c) Both expressions are equal d)

6^{\frac{3}{4}}\times36^{\frac{1}{4}}

is exactly half of

216^{\frac{1}{2}}