Question

by what number should we multiply 3power-9 so that the product is equal to 3

Answer 1

Assume that the number is x.

According to the question

x × 3⁻⁹ = 3

⇒ x = 3/3⁻⁹

⇒ x = 3×3⁹                   [ since 1/x⁻ⁿ = xⁿ ]

⇒ x = 3¹⁺⁹

⇒ x = 3¹⁰                      [ since xᵃxᵇ = xᵃ⁺ᵇ ]

Hence if 3¹⁰ multiply with 3⁻⁹ the result is 3.