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

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 ÷ aⁿ = a^{m − n}

(5^m ÷ 5⁻³) = 5⁵

5^m−(−3) = 5⁵

5^{m + 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

☛ Check: NCERT Solutions for Class 8 Maths Chapter 12

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) = 5⁵ is 2.

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