General Question

talljasperman's avatar

Is one squared less than one cubed?

Asked by talljasperman (21744points) February 13th, 2014

Or are they the same?

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6 Answers

ragingloli's avatar

They are the same.

dxs's avatar

1^n=1, or 1 to any power is 1.
They are equivalent.

Brian1946's avatar

I’m sure that you meant +1, but just for the sake of discussion, -1 squared is more than -1 cubed: 1 > -1.

elbanditoroso's avatar

On what planet? On earth, they are equivalent. On Tralfamadore, they are not.

LostInParadise's avatar

Here is a way of looking at it.
For numbers x greater than 1, x^2 < x^3.
For numbers x greater than 0 but less than 1, x^2 > x^3. For example (½)^3 = ½(½)^2, meaning that (½)^3 is half of (½)^2, which makes it smaller.

For both 0 and 1, x^3 = x^2.
If we write x^3 = x^2, then x^3 – x^2 = 0. x^2(x – 1) = 0, which has solutions of x = 0 and x = 1.

livelaughlove21's avatar

No, 1 is not less than or greater than 1.

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