The expression [tex]6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}[/tex] can be simplified by applying power properties.
Particulary, there is a property known as "power of a product property" that states that, when there is a product of a series of numbers that share the same base "a", [tex]a^n\times{a^m}\times{a^j}[/tex], the result of the multiplications is [tex]a^{m+n+j}[/tex].
Then,in this particular case [tex]6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}[/tex] equals [tex]6^{\frac{1}{4} +\frac{1}{4} +\frac{1}{4} +\frac{1}{4} }=6^1=6[/tex]
