How do you simplify #(4a^3)^2# and write it using only positive exponents?

2 Answers
smendyka
Apr 7, 2017

See the entire simplification process below:

Explanation:

Use these two rules of 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))#

#(4a^3)^2 = (4^color(red)(1)a^color(red)(3))^color(blue)(2) = 4^(color(red)(1) xx color(blue)(2))a^(color(red)(3) xx color(blue)(2)) = 4^2a^6 = 16a^6#

Barney V.
Apr 7, 2017

#color(blue)(16a^6#

Explanation:

#(4a^3)^2#

#:.(m^m)^n=m^(m xx n)#

#:.4^2a^6#

#:.color(blue)(16a^6#

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