y= f(x) =2^x find f(x) when x=-2 Express as a decimal, rounding to the nearest thousandth.

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alieharper115 alieharper115

25-06-2017
Mathematics

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y= f(x) =2^x find f(x) when x=-2 Express as a decimal, rounding to the nearest thousandth.

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jdoe0001 jdoe0001 · Answer 1 · 2017-06-25T23:49:49+02:00

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ f(x)=2^x\qquad x=-2\implies f(x)=2^{-2}\implies f(x)=\cfrac{1}{2^2} \\\\\\ f(x)=\cfrac{1}{4}\implies f(x)=0.\underline{250}\impliedby \textit{3 decimals, thousandths}[/tex]