Question

Why is y^2/y^-2 not equal to 1?

Answer 1

Division of powers:

`(a^m)/(a^n)=a^(m-n)`

For the given division:

`(y^2)/(y^(-2))=y^(2-(-2))=y^(2+2)=y^4_{}`

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Negative power:

`a^(-n)=(1)/(a^n)`

For the given expression: