## anonymous 5 years ago ow do you do (5/4)^-2

1. anonymous

1/ (5/4)^2

2. anonymous

$(\frac{5}{4})^{-2}=(\frac{4}{5})^2=\frac{16}{25}$

3. anonymous

Then how do you do (5/4)^2

4. anonymous

negative exponent means take the reciprocal. flip it. square by multiplying by itself.

5. anonymous

Ahah!

6. anonymous

easy to square a fraction

7. anonymous

8. anonymous

ok lets go slow. the exponent is negative, so get it out of the denominator and put it in the numerator. then the exponent will be positive.

9. anonymous

so its simply 36^1/2?

10. anonymous

$\frac{1}{64^{-\frac{1}{2}}}=64^{\frac{1}{2}}$

11. anonymous

yes. you are right

12. anonymous

i meant 36 not 64!

13. anonymous

Power over root right?

14. anonymous

zactly

15. anonymous

Thanks, I got some more Q's, but ill make a new thread so i can medal more peeps

16. anonymous

17. anonymous

Cool!