Question

(2x^6/y^4)^-3 simplify

Answer 1

`\[(y^(12))/(8 * x^(18))\]`

Explanation:

Given expression is
`\[(2x^(6)/y^(4))^(-3)\]`

In order to simplify the expression, we need to evaluate the numerator and denominator values when a power of -3 is applied to them individually.

Computing the numerator:

`\[(2x^(6))^(-3)\]`

`\[=(2^(-3) * x^(6*(-3)))\]`

`\[=((1)/(2^(3)) * x^(-18))\]`

Similarly the denominator:

`\[(y^(4))^(-3)\]`

`\[=y^(4*(-3))\]`

`\[=y^(-12)\]`

So the overall simplified expression is:

`\[(((1)/(2^(3)) * x^(-18)))/(y^(-12))\]`

`\[=(y^(12))/(8 * x^(18))\]`