\(\frac{5^m\times\, 5^3\times\,5^{-2}}{5^{-5}} = 5^{12}\) then m = �

1.	\(\frac{5^m\times\, 5^3\times\,5^{-2}}{5^{-5}} = 5^{12}\) then m = ………………… A) 1 B) 4 C) 3 D) None
Answer» Correct option is (D) None \(\cfrac{5^m\times5^3\times5^{-2}}{5^{-5}}=5^{12}\) \(\Rightarrow\) \(5^{m+3+(-2)-(-5)}=5^{12}\) \(\Rightarrow\) \(5^{m+3-2+5}=5^{12}\) \(\Rightarrow\) \(5^{m+6}=5^{12}\) \(\Rightarrow\) m+6 = 12 \(\Rightarrow\) m = 12 - 6 = 6 Correct option is D) None

\(\frac{5^m\times\, 5^3\times\,5^{-2}}{5^{-5}} = 5^{12}\) then m = ………………… A) 1 B) 4 C) 3 D) None

Answer»

Correct option is (D) None

\(\cfrac{5^m\times5^3\times5^{-2}}{5^{-5}}=5^{12}\)

\(\Rightarrow\) \(5^{m+3+(-2)-(-5)}=5^{12}\)

\(\Rightarrow\) \(5^{m+3-2+5}=5^{12}\)

\(\Rightarrow\) \(5^{m+6}=5^{12}\)

\(\Rightarrow\) m+6 = 12

\(\Rightarrow\) m = 12 - 6 = 6

Correct option is D) None