Let's first see what exponents are
In 2 ^{ 5 } ,
2 is the base
5 is the exponent (or index)
Let's study the law of indices

√a = a ^{ 1/2 }

โa = a ^{ 1/3 }

^{ n } √a = a ^{ 1/n }
 a ^{ p. } a ^{ q } = a ^{ p + q }
 a ^{ p } / a ^{ q } = a ^{ p  q }
 a ^{ p. } b ^{ p } = (ab) ^{ p }
 (a ^{ p } ) ^{ q. } = a ^{ pq }
 a ^{ 0 } ^{ . } = 1
 a ^{ –n. } = 1/a ^{ n }
Exponent law with examples
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