Respuesta :

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x\cdot 3^{-4}=32\implies x\cdot \cfrac{1}{3^4}=32\implies \cfrac{x}{81}=32\implies x=2592[/tex]

Answer:

x = 2592

Step-by-step explanation:

Equation: x * 3⁻⁴ = 32

Simplify: x/81 = 32

Multiply: x = 2592