Question

3ⁿ+ 3⁻³ = 3⁵ then what is the value of n is​

Answer 1

Question:

Find the value of m for which 3ⁿ ÷ 3⁻³ = 3⁵.

Answer:

n = 2

Explanation:

We know that,

aᵃ ÷ aᵇ = aᵃ⁻ᵇ

∴ 3ⁿ ÷ 3⁻³ = 3⁵

⇒ 3ⁿ ⁻ ⁽⁻³⁾ = 3⁵

3ⁿ⁺³ = 3⁵

As the base is same, therefore we may avoid it.

∴ n + 3 = 5

∴ n = 2

$\large{\boxed{\pink{n = 2}}}$