can someone please simplify sqrt3(-80)^4?

Question

anonymous · Answer

Is it a cube root or a square root?

anonymous · Answer

70944801.078

mathmale · Answer

I think you mean "the third root of (-80)^4"  The third root is not a sqrt.  You could present math problems more clearly using either Equation Editor or Draw (below).$$\sqrt[3]{(-80)^4}$$

mathmale · Answer

Please clarify your meaning before others get involved in helping you.

mathmale · Answer

$$\sqrt[3]{(-80)^4}$$ can be re-written (for easier evaluation) as:$$\sqrt[3]{(-80)^4}=\sqrt[3]{(-80)^3}\sqrt[3]{(-80)}$$

mathmale · Answer

and $$\sqrt[3]{(-80)}$$can be further separated as follows:$$\sqrt[3]{-8}*\sqrt[3]{10}$$

anonymous · Answer

That is the third root of negative eight raised to the fourth power

mathmale · Answer

But what about the 10, as in -80 = -8 * 10?

anonymous · Answer

I have choices. I am to simplify it and most of them have to do with an imaginary number

mathmale · Answer

Do you mean (third root of -8)^4 or do you mean  third root of (-8)^4?

I know this situation is probably new for you, but we have spent a lot of time on this problem without being really clear about what is meant.  Again, please consider using Equation Editor or Draw.

Have you used Draw before?

mathmale · Answer

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