How do you simplify #(0.4h^5)^3#?

1 Answer
Feb 5, 2017

Answer:

See the entire simplification process below:

Explanation:

Use these two rules of exponents to simplify this expression:

#a = a^color(red)(1)#

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

#(0.4h^5)^3 -> (0.4^color(red)(1)h^color(red)(5))^3 -> 0.4^(color(red)(1) xx color(blue)(3))h^(color(red)(5) xx color(blue)(3)) -> 0.4^3h^15 -> 0.064h^15#