[tex](5^{6} . 5^{-2} ) : 5^{4} [/tex] =.... Pergunta de ideia deOtaavio

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[tex](5^{6} . 5^{-2} ) : 5^{4} [/tex] =

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Lukyo

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$\left(5^{6}\cdot5^{-2} \right )\div 5^{4}\\ \\ =\left(5^{6+\left(-2 \right )} \right )\div 5^{4}\\ \\ =\left(5^{6-2} \right ) \div 5^{4}\\ \\ =5^{4} \div 5^{4}\\ \\ =5^{4-4}\\ \\ =5^{0}\\ \\ =1\\ \\ \\ \boxed{\left(5^{6}\cdot5^{-2} \right )\div 5^{4}=1}$

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