Question

How do you simplify `x^3*y*y^4` and write it using only positive exponents?

Answer 1

See the entire simplification process below:

Explanation:

We will use these two rules for exponents to simplify this expression:

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

`x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) +color(blue)(b))`

`x^3 * y * y^color(blue)(4) = x^3 * y^color(red)(1) * y^color(blue)(4)= x^3 * y^(color(red)(1) +color(blue)(4)) = x^3 * y^5 = x^3y^5`