Question

find the value of m for which 5^m÷5‐³=5⁵​

Answer 1

Answer:

The value of m for which (5m ÷ 5−3) = 55 is 2.

Step-by-step explanation:

Answer 2

Answer:

The exponent of a number shows how many times the number is multiplied by itself.

According to the rules of exponents,

We know that, am ÷ an = am − n

(5m ÷ 5−3) = 55

5m−(−3) = 55

5m + 3 = 55

The bases are the same on both the sides, so their exponents must be equal.

∴ m + 3 = 5

⇒ m = 5 − 3

⇒ m = 2