Question

Find the value of m for which 5m : 5-3 = 5 to the power 5​

Answer 1

Explanation:

am ÷ an = am – n

∴ L.H.S = 5m ÷ 5–3

= 5m–(–3) = 5m + 3

Now 5m + 3 = 55

Since, bases 5 are equal, therefore exponents are also equal.

i.e. m + 3 = 5

or m = 5 – 3 = 2

Thus, the required value of m is 2.