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

βa = a ^{ 1/2 }

βa = a ^{ 1/3 }

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