Question

Simplify the expression ^5√-32x^5y^30

Answer 1

Sure!

The fifth root of -32x^5y^30 can be simplified as follows:

First, we can write -32 as (-2)^5.

Next, we can rewrite the expression as follows:

^5√-32x^5y^30 = ^5√((-2)^5 * x^5 * y^30)

Now we can split the root:

^5√((-2)^5 * x^5 * y^30) = (^5√(-2)^5) * (^5√x^5) * (^5√y^30)

Simplifying each part separately:

^5√(-2)^5 = -2

^5√x^5 = x

^5√y^30 = y^6

So the simplified expression is:

-2xy^6