Question

By what number should 3⁻³ be multiplied to obtain 4?

Answer 1

Let the required number be x.
(3)^-3 x x = 4
⇒ $\frac{1}{3^3}\times x=4$
⇒ $\frac{1}{27}\times x=4$
∴ x = 4 x 27 = 108
Hence, the required number is 108.