Find the value of m for which 5ki m divide 5 ki power -3 = 5 ki power 5
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Solution :
5^m/5^-3 = 5^5
=> 5^m × 5³ = 5^5
[ Since ,
1 ) a^-m = 1/a^m
2) a^m × a^n = a^m+n ]
=> 5^( m + 3 ) = 5^5
=> m + 3 = 5
••••••
=> m = 5 - 3
=> m = 2
••••••
5^m/5^-3 = 5^5
=> 5^m × 5³ = 5^5
[ Since ,
1 ) a^-m = 1/a^m
2) a^m × a^n = a^m+n ]
=> 5^( m + 3 ) = 5^5
=> m + 3 = 5
••••••
=> m = 5 - 3
=> m = 2
••••••
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