Find the value of m for which 5m ÷ 5-3 = 55.

Formula


am/an = a(m-n)


am × an = a(m+n)


an = am, then n = m


By using above formula in question:


5m ÷ 5-3 = 55


⇒ 5m+3 = 55


⇒ m + 3 = 5


⇒ m = 2

11