How do you simplify #(2k^4)^4# and write it using only positive exponents?

1 Answer
smendyka
Feb 22, 2017

See the entire simplification process below:

Explanation:

Use these two rules for exponents to simplify this expression:

#a = a^color(red)(1)# and #(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))#

#(2k^4)^4 = (2^color(red)(1)k^color(red)(4))^color(blue)(4) = 2^(color(red)(1) xx color(blue)(4))k^(color(red)(4) xx color(blue)(4)) = 2^4k^16 = 16k^16#

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