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Mathematics 13 Online
OpenStudy (anonymous):

What is the value of y^-5/x^-3 for x = 2 and y = -4?

OpenStudy (sepeario):

So we have the equation \[\frac{ -4^{-5} }{ 2^{-3} }\]

OpenStudy (sepeario):

Which then means \[\frac{ (-4*-4*-4*-4*-4)^{-1} }{ (2*2*2)^{-1} }\]

OpenStudy (sepeario):

Can you evaluate that?

OpenStudy (anonymous):

-256/-8

OpenStudy (sepeario):

Check your answer. What is -4^5. And where did you get the negative from the bottom?

OpenStudy (anonymous):

idk what im doing

OpenStudy (sepeario):

haha no stress.

OpenStudy (anonymous):

-1024/8

OpenStudy (anonymous):

ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh 128

OpenStudy (sepeario):

Yes, but remember how both of them are two the power of negative 1? That means that they are inverse, giving you the fraction 8/-1024

OpenStudy (anonymous):

but would it be -128?

OpenStudy (sepeario):

No, the fraction is inversed. The answer isn't -1024/8.

OpenStudy (anonymous):

-1/128

OpenStudy (sepeario):

Yes! well done.

OpenStudy (anonymous):

yayyyyyy thank you :))))

OpenStudy (sepeario):

all good.

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