## is3535 one year ago What value of p solves the equation?

1. is3535

|dw:1441842713159:dw|

2. is3535

@KendrickLamar2014

3. is3535

@KendrickLamar2014

4. is3535

5 * 5 * 5 * 5 * 5 = 25

5. is3535

p^-5 =1/243

6. is3535

@KendrickLamar2014

7. is3535

@Trisaba

8. is3535

@pinklion23

9. is3535

@phi

10. is3535

@KendrickLamar2014

11. phi

first, flip $p^{-5}$ what do you get ?

12. is3535

5 * 5 * 5 * 5 * 5 = 25

13. phi

no. just change $\frac{p^{-5}}{1} = \frac{1}{p^5}$ notice you flip it upside down and change -5 to +5

14. phi

your problem is now $\frac{1}{p^5}= \frac{1}{243}$ you can flip both sides, $p^5 = 243$

15. is3535

16. phi

you know p*p*p*p*p is 243 to find p we could try factoring 243 or we can try guessing p for example if p=1 we get 1*1*1*1*1= 1 which is too small also if p=2 we would get 2*2*2*2*2= 32 still too small what about p=3?

17. is3535

3 * 3*3*3*3= 243

18. phi

that works. so p is 3

19. is3535

20. phi

yes

21. is3535

omg ty