How is {1}^(4)differ from { {0.1}^(4) }^{}

Question

How is
`{1}^(4)`differ from
`{ {0.1}^(4) }^{}`

Answer 1

`\text{Because 1}^4=1and0.1^4=0.0001`

1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example

`\begin{gathered} 1^4=1 \\ 1^3=1 \\ 1^{^(\pi)}=1\text{ } \\ \text{etc.} \end{gathered}`

2) The same does not happen to 0.1

`0.1=(1)/(10)^4=(1)/(10000)=0.0001`

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

`\text{Because 1}^4=1and0.1^4=0.0001`