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