Respuesta :
Identify the equation with true or false
Option A
[tex]\begin{gathered} (3^4)^5.3^0=3^9.3^{11}.1\text{ }^{} \\ 3^{(4)5\text{ }}.1=3^{9+11}\text{ . 1} \\ 3^{20}=3^{20\text{ }}\text{ (True)} \end{gathered}[/tex]Option B
[tex]\begin{gathered} (3^3)^{-2}.3^{-1}=3^6.3^1\text{ } \\ 3^{3\times}^{-2}.3^{-1}=3^6.3^1\text{ } \\ 3^{-6}.3^{-1}=3^{6+1} \\ 3^{-6-1}=3^7 \\ 3^{-7}=3^7\text{ (False)} \end{gathered}[/tex]Option C
[tex]\begin{gathered} 3^3.3^{11}\text{ . }\frac{1}{3^4\text{ }}\text{ = }\frac{1}{3^{10}} \\ 3^{3+11}\text{ . }\frac{1}{3^4}\text{ = }\frac{1}{3^{10}} \\ 3^{14}\text{ . }\frac{1}{3^4}\text{ = }\frac{1}{3^{10}} \\ 3^{14}.3^{-4}=3^{-10} \\ 3^{14\text{ - 4}}=3^{-10} \\ 3^{10}=3^{-10}\text{ (false)} \end{gathered}[/tex]Option D
[tex]\begin{gathered} 3^2\text{ . }\frac{1}{3^7\text{ }}.3^4=3^{(2-7-4)} \\ 3^2.3^{-7}\text{ }.3^4=3^{(2-7-4)} \\ 3^{2-7+4}=3^{(2-7-4)}\text{ (False)} \end{gathered}[/tex]Option E
[tex]\begin{gathered} (3^2)^5=3^7 \\ 3^{10}=3^7\text{ (False)} \end{gathered}[/tex]