Multiple Exponents

$\large 2^{4x} = 2^4$

$\large 4x = 4 \Longrightarrow x = 1$

$2^{4x}=16$

$16$ can be written as $2^4$ , so we have

$2^{4x}=2^4$

Then,

$4x = 4$

Finally,

$\color{#D61F06}\boxed{x = 1}$ $\color{#69047E}answer$

$2^{4x}$ = $2^4$

or, 4x= 4

or, x=1

2x2x2x2=16. the x value is 1 because 2 multiplied 4 times is 16, and doesn't need any more numbers besides 1.