How do you simplify #(3^4x^12)^(1/4)#?

1 Answer
smendyka
Feb 2, 2017

See the entire simplification process below:

Explanation:

Use this rule for exponents to begin:

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

#(3^color(red)(4)x^color(red)(12))^color(blue)(1/4) = 3^(color(red)(4) xx color(blue)(1/4))x^(color(red)(12) xx color(blue)(1/4)) = 3^1x^3 = 3x^3#

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