Question

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Answer 1

Identify the equation with true or false

Option A

`\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}`

Option B

`\begin{gathered} (3^3)^(-2).3^(-1)=3^6.3^1\text{ } \\ 3^(3*)^(-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}`

Option C

`\begin{gathered} 3^3.3^(11)\text{ . }\frac{1}{3^4\text{ }}\text{ = }(1)/(3^(10)) \\ 3^(3+11)\text{ . }(1)/(3^4)\text{ = }(1)/(3^(10)) \\ 3^(14)\text{ . }(1)/(3^4)\text{ = }(1)/(3^(10)) \\ 3^(14).3^(-4)=3^(-10) \\ 3^{14\text{ - 4}}=3^(-10) \\ 3^(10)=3^(-10)\text{ (false)} \end{gathered}`

Option D

`\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}`

Option E

`\begin{gathered} (3^2)^5=3^7 \\ 3^(10)=3^7\text{ (False)} \end{gathered}`