m \text { for which } 5 ^ { m } \div 5 ^ { - 3 } = 5 ^ { 5 } – InterviewSolution

1.

m \text { for which } 5 ^ { m } \div 5 ^ { - 3 } = 5 ^ { 5 }

Answer»

using law of indiceshencea^m/a^n=a^m-nhence5^m-(-3)=5^3m+3=3m=0

5^m/5 ^3 = 5^5 === 5^m = 5^5+3 === 5^m = 5^8 ===. m =8

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