Question

If we multiply 3^-4 with ……………. product as 729. 

A) 3¹⁰ 

B) 3⁷

C) 3⁹ 

D) 3⁶ 

Answer 1

Correct option is (A) 3¹⁰

Let we multiply x with \(3^{-4}\) to get 729.

\(\therefore\) \(x\times3^{-4}=729=3^6\)

\(\Rightarrow\) \(x=\frac{3^6}{3^{-4}}=3^6\times(3^{-4})^{-1}\) \(=3^6\times3^4=3^{6+4}=3^{10}\)

Thus, we have to multiply \(3^{10}\) with \(3^{-4}\) to get 729.

Answer 2

Correct option is  A) 3¹⁰