## anonymous one year ago What is the value of y^-5/x^-3 for x = 2 and y = -4?

1. sepeario

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

2. sepeario

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

3. sepeario

Can you evaluate that?

4. anonymous

-256/-8

5. sepeario

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

6. anonymous

idk what im doing

7. sepeario

haha no stress.

8. anonymous

-1024/8

9. anonymous

ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh 128

10. 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

11. anonymous

but would it be -128?

12. sepeario

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

13. anonymous

-1/128

14. sepeario

Yes! well done.

15. anonymous

yayyyyyy thank you :))))

16. sepeario

all good.