If we multiply 3-4 with ……………. product as 729. A) 310 B) 3

1.	If we multiply 3-4 with ……………. product as 729. A) 310 B) 37C) 39 D) 36
Answer» 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. Correct option is A) 3¹⁰

If we multiply 3-4 with ……………. product as 729. A) 310 B) 37C) 39 D) 36

Answer»

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.

Correct option is A) 3¹⁰