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4)^-5 write in a simplified fraction

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\bf 4^(-5)?\qquad \textit{well, bear in mind that}\\ ----------------------------\\ a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \\ \quad \\ % negative exponential denominator a^{{ n}} \implies \cfrac{1}{a^(- n)} \qquad \qquad \cfrac{1}{a^(- n)}\implies \cfrac{1}{(1)/(a^( n))}\implies a^{{ n}}\\ ----------------------------\\ thus\implies 4^(-5)\implies \cfrac{1}{4^(+5)}\implies \cfrac{1}{4^5}\implies \cfrac{1}{1024}
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