What is the simplified value of the exponential expression 16 Superscript one-fourth?

Answer: The value of the exponential expression [tex]16^{\frac{1}{4}}[/tex] is 2  Solution: 16 superscript one-fourth= [tex]16^{\frac{1}{4}}[/tex]As per the problem,  We have to find the value of [tex]16^{\frac{1}{4}}[/tex]  16 in terms of 2 can be written as [tex]2\times2\times2\times2[/tex]= [tex](2 \times 2 \times 2 \times 2)^{\frac{1}{4}}[/tex]=[tex]\left(2^{4}\right)^{\frac{1}{4}}[/tex]As per the exponential rule, [tex]a^{(m)^{n}}=a^{m \times n}[/tex]=[tex]2^{4 \times \frac{1}{4}}[/tex]Here, [tex]4\times\frac{1}{4}=1[/tex]= [tex]2^{1}[/tex]= 2 Hence, the value is 2.