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  • Find the value of m for which 5^m ÷ 5^ – 3 = 5^5 .

5. Find the value of m for which 5^m \div 5^{-3} = 5^5

Answers (1)

best_answer

We have,

a^{m}\div a^{n}= a^{m-n}

Here a = 5 and n =-3 and m-n = 5

therefore,

 5^{m}\div 5^{-3}= 5^{m+3} = 5^{5}

By comparing from both sides we get 

m+3 = 5 

m= 2 

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manish

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