Q

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

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

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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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