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How do you simplify #(a^8)^(3/2)#?

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May 30, 2018

Use this rule of exponents to simplify the expression:

#(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))#

#(a^color(red)(8))^color(blue)(3/2) => a^(color(red)(8) xx color(blue)(3/2)) => a^(24/2) => a^12#

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