Question

How do you simplify `\frac { ( x ^ { 3} y ^ { 4} ) ^ { 2} } { ( x ^ { - 4} y ^ { - 4} ) ^ { 2} }`?

Answer 1

Use the order of operations and distribution of exponents to figure out this answer.

Explanation:

`(x^3y^4)^2/(x^-4y^-4)^2`

Distribute the square exponent to the other terms.

`=(x^9y^8)/(x^-8y^-8)`

Use the negative property of exponents and add the corresponding terms to find out the answer.

`=x^17y^16`