Question

if 5^m÷5^-3=5^m find the value of m

Answer 1

Hey there! ☺☻☺

$\frac{5^m}{5^{-3}} = 5^5\\\\5^{m - (-3)} = 5^5~~~~[a^x \div a^y = a^{x - y}]\\5^{m+3} = 5^5\\Comparing \ powers,\\m+3 = 5\\m = 5 - 3\\\boxed{\boxed{\bold{m = 2}}}$

Hope It Helps You! ☺☻☺

Answer 2

This question is wrong
it's this
5^m/5^-3=5^5

5^m×5^3=5^5

5^m+3=5^5

by comparing the powers
we get

m+3=5

m=5-3

m=2

hope this helps you