if 1/x^2 = x^-2/1 then why is 5/x^2 = 5x^-2 instead of x^-2/5?

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- Oct 14th 2009, 09:55 PMolivia59negative indices
if 1/x^2 = x^-2/1 then why is 5/x^2 = 5x^-2 instead of x^-2/5?

- Oct 14th 2009, 10:11 PMProve It
- Oct 14th 2009, 10:39 PMpacman
"if 1/x^2 = x^-2/1 then why is 5/x^2 = 5x^-2 instead of x^-2/5? "

that blue thing "1/x^2 = x^-2/1" is wrong, this is correct: 1/x^2 = x^-2

this is correct, 5/x^2 = 5x^-2 not this 5/x^2= x^-2/5

rules of exponent:

**(i)**(x/y)^2 = x^2/y^2

**(ii)**1/x^n = x^(-n) . . . . . . . . .

rule**(ii)**applies to your queries.