SOLUTION: The 4th root of 0 would equal 0 right? or can you even take the 4th root of 0?

Question 420168: The 4th root of 0 would equal 0 right? or can you even take the 4th root of 0?
Found 2 solutions by stanbon, Theo:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The 4th root of 0 would equal 0 right? or can you even take the 4th root of 0?
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Yes, you can take the 4th root, and it is zero.
Cheers,
Stan H.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the 4th root of 0 will equal 0.

the basic reversibility property of an equation is:

y = fourth root of x if and only if x = y to the fourth power.

we start with the fourth root of 0 = 0.

this is true if and only if 0 to the fourth power = 0.

0 to the fourth power = 0*0*0*0 which equals 0.

therefore the fourth root of 0 equals 0.

you can verify this is true by using your calculator (assuming your calculator does it correctly which I am assuming is true).

take 0^4 and you will see that your calculator tells you the answer is 0.

take the fourth root of 0 and you will see that your calculator tells you the answer is 0.

to show you how the reversibility property works, we'll take another example where x is not equal to 0.

we start with the fourth root of 16 = 2.

this is true if and only if 2 to the fourth power = 16

take your calculator and find the 4th root of 16.

you will see that the answer is 2.

now take 2 to the 4th power.

you will see that the answer is 16.

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