Respuesta :
The unit digit of expression of [tex]317^{171}[/tex] is [tex]3[/tex].
How to find the unit digit of the given expression?
The unit digit of a number exists as the digit in the one's place of the number. i.e It stands for the rightmost digit of the number. For example, the units digit 243 exists at 3, and the unit digit of 39 is 9.
In mathematics, an expression or mathematical expression exists as a finite combination of symbols that stands well-formed according to regulations that depend on the context.
To find the unit digit of [tex]317^{171}[/tex], we consider only last digit.
Hence,
⇒[tex]7^{171}[/tex]
⇒[tex](7^{3})^5^7[/tex]
Since unit digit of the first three powers of [tex]7[/tex], we get:
⇒[tex]7^{1}=7[/tex]
⇒[tex]7^{2}=9[/tex]
⇒[tex]7^{3}=3[/tex]
Hence, Above equation can be written as,
⇒[tex](7^{3})^5^7[/tex]
⇒[tex]7^{3}[/tex] = [tex]343[/tex]
Therefore, The unit digit of expression of [tex]317^{171}[/tex] is [tex]3[/tex].
To learn more about the unit digit of numbers visit:
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