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# Power Question C1 Watch

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1. = ,

To get x , do I do root 8 then power it by 3 ? , Or do I do cube root 8 then power it by 2 ?

I'm not sure if the sign get flipped when it moves to the other side ?
2. the number at the bottom falls down and rises up again as a power, so it is root x ^ 3.

so x = 4

3. is the same as saying

1.

and it is also the same as saying

2.

^ due to indice rules involving multiplication. You'll see that multiplying the indices together in each equation gives you the same power of x.

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A good thing to remember:

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To solve for x in (1):

, to get rid of the outside power of 3.

. Anything to the power of 1/2 is the same as using a square root sign. To get rid of square roots, we square both sides.

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To solve for x in (2):

for the same reason as above.

because "cube root" "undoes" "to the power of 3"

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Just for your knowledge, you can always test your method by working backwards and seeing if you get to the beginning again.

To get x , do I do root 8 then power it by 3 ?

Let's test it out:

, because you're powering the whole of "root 8" by 3 (so you can put it in brackets like so)

- this is clearly not equivalent to the first bit

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Updated: December 25, 2010
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