Respuesta :

Answer:

[tex]4^{-3}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex], thus

[tex]4^{-5}[/tex] × 4²

= [tex]4^{(-5+2)}[/tex] = [tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]

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