Question

How do you simplify `(\frac { x ^ { 6} y ^ { 4} } { x ^ { 2} y } ) ^ { 3}`?

Answer 1

`x^12y^9`

Explanation:

1. Distribute the exponent of 3 by multiplying every exponent in the parentheses by 3.

Remember, variables or numbers without exponents actually have an exponent of 1.

`(x^18y^12)/(x^6y^3)`

2. Simplify using exponent rules. When dividing powers with the same base, subtract the exponents.

`= x^12y^9`

That's your final answer!