1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example
[tex]\begin{gathered} 1^4=1 \\ 1^3=1 \\ 1^{^{\pi}}=1\text{ } \\ \text{etc.} \end{gathered}[/tex]2) The same does not happen to 0.1
[tex]0.1=\frac{1}{10}^4=\frac{1}{10000}=0.0001[/tex]Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.
3) So the answer is
[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]