Wafflesgravy8265 Wafflesgravy8265
  • 21-03-2019
  • Mathematics
contestada

Compute the exact value of the function for the given x-value without using a calculator.F(x)=6^x for x = -3

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jdoe0001 jdoe0001
  • 21-03-2019

[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}\\\\ f(x)=6^x\qquad \boxed{x=-3}\qquad \implies f(-3)=6^{-3}\implies f(-3)=\cfrac{1}{6^3} \\\\\\ f(-3)=\cfrac{1}{6\cdot 6\cdot 6}\implies f(-3)=\cfrac{1}{36\cdot 6}\implies f(-3)=\cfrac{1}{216}[/tex]

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kaitlyns1313 kaitlyns1313
  • 11-03-2021

Answer: B on Edg

Step-by-step explanation:

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