Prove directly from the definition of congruence modulo $n$ that if $a , c$, and $n$ are integers, $n 1$, and $a \equiv c ( \bmod n )$, then $a ^ { 3 } \equiv c ^ { 3 } ( \bmod n )$.

Question

Prove directly from the definition of congruence modulo $n$ that if $a , c$, and $n$ are integers, $n > 1$, and $a \equiv c ( \bmod n )$, then $a ^ { 3 } \equiv c ^ { 3 } ( \bmod n )$.

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The Answer of Prove directly from the definition of congruence modulo $n$ that if $a , c$, and $n$ are integers, $n > 1$, and $a \equiv c ( \bmod n )$, then $a ^ { 3 } \equiv c ^ { 3 } ( \bmod n )$.

Prove Directly from the Definition of Congruence Modulo nnn That If a,ca , ca,c

Prove Directly from the Definition of Congruence Modulo $n$ That If $a , c$