express in radical form and simpilfy

[art2ista]

i don't know how to get the answer. the answer is

-2ysquared 3radical 2x squared

the problem is as follows

(-16x squared y to the 6 power

please help

 

[tkhunny]

I could take a couple of guess at what you mean, but you really have to figure out how to write more understandably. Pull down the "Forum Help" and pick "Karl's Notes" for starters.

 

[soroban]

Hello, art2ista!

Your wording is very vague . . . and you have the two parts backwards.
You need to use parentheses ... or learn to write in English.

-16x squared y to the 6 power . . . .This is the answer!

The answer is: -2ysquared 3radical 2x squared . . . . This is the problem!

I can see only one way to get that answer . . .
That "3" is a cube, right?

Here's my guess: \(\displaystyle \-2y^2)^3(\sqrt{2}x)^2\)

Then we have: \(\displaystyle \-2)^3\cdot(y^2)^3\cdot(\sqrt{2})^2\cdot(x)^2\)

. . . $\displaystyle = \;-8\cdot y^6\cdot2\cdot x^2$

. . . $\displaystyle = \;-16x^2y^6$