Question

Simplify by taking the 4th root of the following (160x^7 * y^9)

Answer 1

So, we're going to simplify the following expression:

`\sqrt[4]{160x^7y^9}`

To do this, remember that we can express the values inside of the 4th root by another way:

So we're going to rewrite our initial expression:

`\sqrt[4]{160x^7y^9}=\sqrt[4]{10\cdot2^4\cdot x^4\cdot x^3\cdot y^4\cdot y^5}`

Now, we could use the fact that:

So,

`\sqrt[4]{10\cdot2^4\cdot x^4\cdot x^3\cdot y^4\cdot y^5}=2xy\sqrt[4]{10x^3y^5}`

And that's our simplified expression.