What is the missing exponent? (12^-5)^2 / 12^-4 = 12^_____

asked Aug 18, 2015 83.6k views

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What is the missing exponent?

(12^-5)^2 / 12^-4 = 12^_____

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$((12^(-5))^2)/(12^(-4))=(12^(-5*2))/(12^(-4))=(12^(-10))/(12^(-4))=12^(-10-(-4))=12^(-10+4)=12^(-6)\\\\Answer:\boxed{-6}$

Thanya answered Aug 23, 2015

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