Question

Find the value of m for which 5^m ÷ 5^-3
= 5^5
​

Answer 1

m = 2. Q. Find the value of m for which 5m/5−3=55.

Answer 2

Answer:m = 2. Q. Find the value of m for which 5m/5−3=55.

Step-by-step explanation:Solution

5m ÷ 5−3 = 55

5m − (− 3) = 55 (am ÷ an = am − n)

5m + 3 = 55

Since the powers have same bases on both sides, their respective exponents must be equal.

m + 3 = 5

m = 5 − 3

m = 2