Question

How do you simplify `(12y^10y^2)/(6(x^7)x)`?

Answer 1

`(2y^12)/x^8`

Explanation:

In this expression, the coefficients are simply divided, and then the Product of Powers Property is applied to the power expressions. The Product of Powers Property states that when two power expressions with the same base are multiplied, the base remains the same and the exponents are added.
`a^n*a^m = a^(n +m)`
***Do not forget that a variable with no exponent actually does have an understood exponent of `1`. So, we simplify this expression like this:
`(12-:6)(y^(10 + 2))/x^(7 + 1) = (2y^12)/x^8`