Question

move numbers to the table to show the value of x that satisfies each equation.

equation	value of x
$4^x = \frac{1}{16}$

numbers to move: -4, -3, -2, 2, 3, 4

Explanation:

Step1: Rewrite 16 as power of 2

$16 = 2^4$

Step2: Solve for x in $2^x=2^4$

Since bases are equal, equate exponents: $x=4$

Step3: Rewrite $\frac{1}{16}$ as power of 4

$\frac{1}{16} = 4^{-2}$ (because $4^2=16$, so $4^{-2}=\frac{1}{4^2}$)

Step4: Solve for x in $4^x=4^{-2}$

Since bases are equal, equate exponents: $x=-2$

Answer:

Equation	Value of $x$
$4^x = \frac{1}{16}$	-2