How do you simplify #(a^6b^4c^10)/(a^3b^2c)#?

1 Answer
Apr 29, 2017

Answer:

See the solution process below:

Explanation:

First, rewrite this expression as:

#(a^6/a^3)(b^4/b^2)(x^10/c)#

Now use these two rules of exponents to simplify each of the terms:

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

#(a^color(red)(6)/a^color(blue)(3))(b^color(red)(4)/b^color(blue)(2))(c^color(red)(10)/c^color(blue)(1)) = a^(color(red)(6)-color(blue)(3))b^(color(red)(4)-color(blue)(2))c^(color(red)(10)-color(blue)(1)) =#

#a^3b^2c^9#