Question

Which expression is equivalent to (16x^8y^-12)^1/2

Answer 1

C edgen 2020

Explanation:

Answer 2

The equivalent expression is
`\Rightarrow (4x^4)/(y^6)`

Explanation:

Given:
`(16x^8y^(-12))^(1/2)`

We need to simplify the expression. We will distribute radical with each term inside the parentheses.

`\Rightarrow (16x^8y^(-12))^(1/2)`

Distribute the radical

`\Rightarrow 16^(1/2)\cdot x^{8\cdot 1/2\cdot y^(-12\cdot 1/2)`

`\Rightarrow 4\cdot x^4\cdot y^(-6)`

`\Rightarrow 4x^4y^(-6)`

Now we will simplify the negative exponent.

`\Rightarrow (4x^4)/(y^6)`

Hence, The equivalent expression is
`\Rightarrow (4x^4)/(y^6)`