Respuesta :

Hello there!

4 * 2^ x

4 * 2^-6

2^-6 = 1/64

4 * 1/64 = 1/16

your answer is 1/16

That would be D. 1/16

I hope my answer was of assistance to you!

~ FIre
gmany

Answer:

[tex]\large\boxed{D.\ \dfrac{1}{16}}[/tex]

Step-by-step explanation:

[tex]4=2^2\\\\y=4\cdot2^x=2^2\cdot2^x\qquad\text{use}\ a^na^m=a^{n+m}\\\\y=2^{2+x}\\\\for\ x=-6\\\\y=2^{2+(-6)}=2^{2-6}=2^{-4}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\y=\dfrac{1}{2^4}=\dfrac{1}{16}[/tex]

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