Question

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

Answer 1

See explanation.

Explanation:

Since only multiplication is occuring, we can rewrite `((2x^4)/(3x^6y^4))^4` as `((2^4(x^4)^4)/(3^4(x^6)^4(y^4)^4))`, we can now simplify this, remember that `(x^a)^b = x^(a*b)`

Simplifying, we get:
`(16x^16)/(81x^24y^16)`, we can further simplify and get `(16)/(81x^8y^16)`