Answer and explanation:
Given : Expression [tex](16)^{\frac{1}{4}}[/tex] as [tex]\sqrt[4]{16}[/tex]
To find : Use properties of exponents to explain why it makes sense to define expression ?
Solution :
Using property of exponent,
[tex]x^{\frac{1}{n}}=\sqrt[n]{x}[/tex]
On comparing with given expression,
Here x=16 and n=4
[tex](16)^{\frac{1}{4}}=\sqrt[4]{16}[/tex]
Hence by property it defied the expression.
