Don't think about wheel theory!

Algebra Level 1

True or False?

By the law of indices, we know that a3=a×a×aa^3 = a \times a \times a and a2=a×aa^2 = a\times a.

This also means that a3a2=a×a×aa×a=a×a×aa×a=a \dfrac{a^3}{a^2} = \dfrac{a\times a \times a}{a\times a} = \dfrac{a\times \bcancel a \times \bcancel a}{\bcancel a\times \bcancel a} = a .

Let a=0a = 0 , we get 0302=0\dfrac{0^3}{0^2} = 0 .

Since 03=0×0×0=00^3 = 0\times0\times0 = 0 and 02=0×0=00^2 = 0\times0 = 0 , we can conclude that 00=1 \dfrac00 = 1.

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