Order of Power of Group Element/Examples
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Examples of Order of Power of Group Element
Order of Powers of $x$ when $\order x= 20$
Let $G$ be a group.
Let $x \in G$ be such that:
- $\order x = 20$
where $\order x$ denotes the order of $x$ in $G$.
Then:
\(\text {(1)}: \quad\) | \(\ds \order {x^4}\) | \(=\) | \(\ds 5\) | |||||||||||
\(\text {(2)}: \quad\) | \(\ds \order {x^{10} }\) | \(=\) | \(\ds 2\) | |||||||||||
\(\text {(3)}: \quad\) | \(\ds \order {x^{12} }\) | \(=\) | \(\ds 5\) |