Question

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

Answer 1

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`