# Find the value of m for which (5^{m} ÷ 5^{−3}) = 5^{5 }

**Solution:**

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

According to the rules of exponents,

We know that, a^{m} ÷ a^{n} = a^{m − n}

(5^{m} ÷ 5^{−3}) = 5^{5}

5^{m−(−3) }= 5^{5}

5^{m + 3} = 5^{5}

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

∴ m + 3 = 5

⇒ m = 5 − 3

⇒ m = 2

**Video Solution:**

## Find the value of m for which (5ᵐ ÷ 5⁻³) = 5⁵

### Class 8 Maths NCERT Solutions - Chapter 12 Exercise 12.1 Question 5

**Summary:**

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