## anonymous one year ago Which expression is equivalent to 46 ⋅ 4−8? 1 over 4 to the 2nd power 1 over 4 to the 14th power 4^2 4^14

1. anonymous

@welshfella

2. anonymous

@Nnesha

3. Nnesha

when we multiply same bases we should ADD their exponents $\huge\rm x^m \times x^n=x^{m+n}$ and please use ^ for exponents

4. anonymous

ok

5. Nnesha

expression is $\huge\rm 4^6 \times 4^{-8}$ bases are same so add their exponents

6. anonymous

-2?

7. Nnesha

yes right now flip the fraction to make it posisitve exponnet $\huge\rm x^{-m} =\frac{ 1 }{ x^m }$

8. Nnesha

ugh positive ** exponent **

9. anonymous

10. Nnesha

no it's not you just said it's -2

11. Nnesha

$\huge\rm 4^{6+(-8)}= 4^{-2}$

12. anonymous

hmm 2^4?

13. welshfella

lol Nnesha you are making money!!

14. anonymous

sorry im not the best with fracs and exponents

15. Nnesha

here is an example $\huge\rm \frac{ x^{-m} }{ 1}=\frac{ 1 }{ x^{m} }$ flip the fraction and change the sign that's it :D

16. Nnesha

lol welshfella

17. anonymous

ok zo the fractions was

18. anonymous

so*

19. Nnesha

it's $4^{-2}~is ~ same ~ as ~\frac{ 4^{-2} }{ 1}$

20. anonymous

ohhhhhh

21. anonymous

1/4^2

22. Nnesha

perfect!

23. anonymous

:D

24. Nnesha

D:

25. anonymous

so a?

26. Nnesha

no its D

27. anonymous

thats 4^14

28. Nnesha

so why did you ask ? lol ofc its a

29. anonymous

oh xDD

30. anonymous

Thanks ur awesome