Question

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

Answer 1

Solution

- The solution steps are given below:

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

Final Answer

The answers are:

OPTION A

OPTION B

OPTION C