So, we're going to simplify the following expression:
[tex]\sqrt[4]{160x^7y^9}[/tex]
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:
[tex]\sqrt[4]{160x^7y^9}=\sqrt[4]{10\cdot2^4\cdot x^4\cdot x^3\cdot y^4\cdot y^5}[/tex]
Now, we could use the fact that:
So,
[tex]\sqrt[4]{10\cdot2^4\cdot x^4\cdot x^3\cdot y^4\cdot y^5}=2xy\sqrt[4]{10x^3y^5}[/tex]
And that's our simplified expression.
