Question

How do you evaluate `x^ { 3} y ^ { 5} \cdot 1/x^2`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(x^3/x^2)y^5`

Next, use these rules for exponents to complete the evaluation:

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

`(x^color(red)(3)/x^color(blue)(2))y^5 => x^(color(red)(3)-color(blue)(2))y^5 => x^color(red)(1)y^5 => xy^5`