QUESTION IMAGE
Question
completar tablas de valores
completa la tabla de valores.
| $x$ | $4^{-x}$ |
|---|---|
| $0$ | $a$ |
| $2$ | $b$ |
| $4$ | $c$ |
$a = \square$ $b = \square$ $c = \square$
Step1: Calcular \( a \) (cuando \( x = 0 \))
Sustituir \( x = 0 \) en \( 4^{-x} \): \( 4^{-0}=4^{0}=1 \), así que \( a = 1 \).
Step2: Calcular \( b \) (cuando \( x = 2 \))
Sustituir \( x = 2 \) en \( 4^{-x} \): \( 4^{-2}=\frac{1}{4^{2}}=\frac{1}{16} \), así que \( b=\frac{1}{16} \).
Step3: Calcular \( c \) (cuando \( x = 4 \))
Sustituir \( x = 4 \) en \( 4^{-x} \): \( 4^{-4}=\frac{1}{4^{4}}=\frac{1}{256} \), así que \( c=\frac{1}{256} \).
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\( a = 1 \), \( b = \frac{1}{16} \), \( c = \frac{1}{256} \)