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Mathematics 22 Online
OpenStudy (anonymous):

1

OpenStudy (anonymous):

-2^-2 = -1/4

OpenStudy (anonymous):

steps are 1) get rid of the negative exponent \[-2^{-2}=-\frac{1}{2^2}\]

OpenStudy (anonymous):

2) square to get \[-\frac{1}{4}\]

OpenStudy (anonymous):

i assume the second one is \[\frac{3}{x^{-1}y^{-2}}\]

OpenStudy (anonymous):

since both variables are raised to a negative power, take the reciprocal. which since they are in the denominator of the fraction means to bring them to the numerator with positive exponents

OpenStudy (anonymous):

so there is really only one step here \[\frac{3}{x^{-1}y^{-2}}=3xy^2\]

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