Question

What should be multiplied with 3^-4 we will get 729 is …………..? 

A) 3¹⁰

B) 3⁹

C) 3¹¹

D) 3⁸

Answer 1

Correct option is A) 3¹⁰

Let x should be multiplied with 3^-4 to get 729

i.e., 3^-4 x = 729 = 3⁶

⇒ x = \(\frac{3^6}{3^{-4}}\) = 3⁶ x (3^-4)^-1 = 3⁶ x 3⁴ = 3¹⁰