Question

Which expressions are equivalent to the one below? Check all that apply.A.B.C.4xD.4E.16xF.(16 - 4)x

Answer 1

- The solution steps are given below:

`\begin{gathered} (16^x)/(4^x)=((16)/(4))^x\text{ \lparen OPTION A\rparen} \\ \\ =((4^2)^x)/(4^x)=(4^(2x))/(4^x) \\ \\ =(4^(x+x))/(4^x) \\ \\ =(4^x.4^x)/(4^x)\text{ \lparen OPTION B\rparen} \\ \\ \\ 4^{x\text{ }}\text{ can cross out} \\ \\ =4^x\text{ \lparen OPTION C\rparen} \\ \\ \\ \\ \end{gathered}`

Final Answer

The answers are:

OPTION A

OPTION B

OPTION C